Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976bn |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
501760 |
Modular degree for the optimal curve |
Δ |
33054758418514896 = 24 · 311 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-232554,42269605] |
[a1,a2,a3,a4,a6] |
Generators |
[242:405:1] |
Generators of the group modulo torsion |
j |
2955053056/70227 |
j-invariant |
L |
7.7536889129188 |
L(r)(E,1)/r! |
Ω |
0.36831872647381 |
Real period |
R |
2.6314467455898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952bi1 19992p1 59976bj1 |
Quadratic twists by: -4 -3 -7 |