Cremona's table of elliptic curves

30492 = 2² · 3² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	30492bc	Isogeny class
Conductor	30492	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	345600	Modular degree for the optimal curve
Δ	-628968436615267056 = -1 · 24 · 39 · 7 · 1111	Discriminant
Eigenvalues	2- 3-  1 7- 11-  1  6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,14883,38150453]	[a1,a2,a3,a4,a6]
Generators	[253:7623:1]	Generators of the group modulo torsion
j	17643776/30438639	j-invariant
L	6.6337324079094	L(r)(E,1)/r!
Ω	0.22617583685829	Real period
R	2.4441648660232	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121968dt1 10164k1 2772f1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 30492bc1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	1	-	-	1	6	-1	8	-7	-10	-3	0	4	-7	-4	-7	14	-13	16	-13	8	-14	-10	-12

---

Quadratic twists for elliptic curve 30492bc1

-4	-3	-11
121968dt1	10164k1	2772f1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations