Cremona's table of elliptic curves

121275 = 3² · 5² · 7² · 11

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	121275ee	Isogeny class
Conductor	121275	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	1.7665663874554E+22	Discriminant
Eigenvalues	1 3- 5+ 7- 11- -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-23411817,-43124096534]	[a1,a2,a3,a4,a6]
Generators	[-2986:13868:1] [-2770:22994:1]	Generators of the group modulo torsion
j	1058993490188089/13182390375	j-invariant
L	14.010185739765	L(r)(E,1)/r!
Ω	0.068685921161648	Real period
R	3.1871036817328	Regulator
r	2	Rank of the group of rational points
S	0.99999999984621	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	40425l4 24255bi4 17325p3	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 121275ee4

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	-	+	-	-	-2	-6	-4	-4	-10	4	2	10	-12	0	10	-12	2	-4	-8	-14	4	-8	6	-10

---

Quadratic twists for elliptic curve 121275ee4

-3	5	-7
40425l4	24255bi4	17325p3

---

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