Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70180p |
Isogeny class |
Conductor |
70180 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-3605516378420000000 = -1 · 28 · 57 · 118 · 292 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11- 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137980,-93416728] |
[a1,a2,a3,a4,a6] |
Generators |
[1049:30250:1] |
Generators of the group modulo torsion |
j |
-5294120656/65703125 |
j-invariant |
L |
5.6602669313533 |
L(r)(E,1)/r! |
Ω |
0.10645261593393 |
Real period |
R |
1.26599294047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70180l1 |
Quadratic twists by: -11 |