Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51156v |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-218397595030272 = -1 · 28 · 36 · 79 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17640,-1148364] |
[a1,a2,a3,a4,a6] |
Generators |
[219464:4285099:512] |
Generators of the group modulo torsion |
j |
-27648000/9947 |
j-invariant |
L |
5.6857825435788 |
L(r)(E,1)/r! |
Ω |
0.20346077246388 |
Real period |
R |
6.986337556264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5684i1 7308d1 |
Quadratic twists by: -3 -7 |