Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672ba |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
360960 |
Modular degree for the optimal curve |
Δ |
9213536088064 = 212 · 75 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 11+ -5 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8284,-250784] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-644:1] [-66:92:1] |
Generators of the group modulo torsion |
j |
15349139558208/2249398459 |
j-invariant |
L |
4.5441164169498 |
L(r)(E,1)/r! |
Ω |
0.50532631304631 |
Real period |
R |
0.14987399559569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56672g1 113344cf1 |
Quadratic twists by: -4 8 |