Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162bd |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-39549915082656 = -1 · 25 · 37 · 117 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11- -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3789,-289899] |
[a1,a2,a3,a4,a6] |
Generators |
[51:159:1] [69:510:1] |
Generators of the group modulo torsion |
j |
4657463/30624 |
j-invariant |
L |
6.9798426558562 |
L(r)(E,1)/r! |
Ω |
0.32253677640524 |
Real period |
R |
1.3525284491685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21054bd1 5742u1 |
Quadratic twists by: -3 -11 |