Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912ca |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
1600865130074112 = 212 · 37 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -1 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29269,-105085] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1323:1] |
Generators of the group modulo torsion |
j |
117440512/67797 |
j-invariant |
L |
7.0374714749238 |
L(r)(E,1)/r! |
Ω |
0.39838056085163 |
Real period |
R |
0.841199903418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4557a1 72912br1 |
Quadratic twists by: -4 -7 |