Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080br |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
5578004736000000 = 214 · 312 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -6 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352668,80531408] |
[a1,a2,a3,a4,a6] |
Generators |
[332:200:1] |
Generators of the group modulo torsion |
j |
406138732653904/467015625 |
j-invariant |
L |
7.2272517918267 |
L(r)(E,1)/r! |
Ω |
0.4264175438382 |
Real period |
R |
4.2371918388934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080ex1 14760i1 39360n1 |
Quadratic twists by: -4 8 -3 |