Atkin-Lehner |
2- 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
95700bd |
Isogeny class |
Conductor |
95700 |
Conductor |
∏ cp |
495 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
132377814946080000 = 28 · 311 · 54 · 115 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157333,16395863] |
[a1,a2,a3,a4,a6] |
Generators |
[473:6930:1] [-407:3630:1] |
Generators of the group modulo torsion |
j |
2691943628800000/827361343413 |
j-invariant |
L |
12.810161302415 |
L(r)(E,1)/r! |
Ω |
0.30445950869187 |
Real period |
R |
0.085000182304227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95700k1 |
Quadratic twists by: 5 |