Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540bd |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
648926148281250000 = 24 · 3 · 510 · 77 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-525541,141252320] |
[a1,a2,a3,a4,a6] |
Generators |
[5791805864:411713633499:1124864] |
Generators of the group modulo torsion |
j |
8527782693830656/344736328125 |
j-invariant |
L |
8.0146514169541 |
L(r)(E,1)/r! |
Ω |
0.28532050338617 |
Real period |
R |
14.04499733474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220f1 |
Quadratic twists by: -7 |