Cremona's table of elliptic curves

29400 = 2³ · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	29400ds	Isogeny class
Conductor	29400	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	2656420300800 = 211 · 32 · 52 · 78	Discriminant
Eigenvalues	2- 3- 5+ 7+  0  4  1 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6288,173088]	[a1,a2,a3,a4,a6]
Generators	[-33:588:1]	Generators of the group modulo torsion
j	93170/9	j-invariant
L	6.9558997227759	L(r)(E,1)/r!
Ω	0.78714962319956	Real period
R	1.4728033734556	Regulator
r	1	Rank of the group of rational points
S	0.99999999999999	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	58800c1 88200bf1 29400w1 29400cq1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400ds1

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
-	-	+	+	0	4	1	-6	-3	0	-5	2	-5	2	3	-2	10	0	-12	3	2	-9	8	-11	-1

---

Quadratic twists for elliptic curve 29400ds1

-4	-3	5	-7
58800c1	88200bf1	29400w1	29400cq1

---

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