Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900t |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
469631250000 = 24 · 33 · 58 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5633,157488] |
[a1,a2,a3,a4,a6] |
Generators |
[28:150:1] [-51:561:1] |
Generators of the group modulo torsion |
j |
79082438656/1878525 |
j-invariant |
L |
12.00767590771 |
L(r)(E,1)/r! |
Ω |
0.93364641872976 |
Real period |
R |
0.71450293452095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180g1 |
Quadratic twists by: 5 |