Atkin-Lehner |
2+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
12496c |
Isogeny class |
Conductor |
12496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
2128918528 = 211 · 114 · 71 |
Discriminant |
Eigenvalues |
2+ -1 0 1 11- 7 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-368,1696] |
[a1,a2,a3,a4,a6] |
Generators |
[20:44:1] |
Generators of the group modulo torsion |
j |
2698465250/1039511 |
j-invariant |
L |
4.0925028574377 |
L(r)(E,1)/r! |
Ω |
1.3361428496183 |
Real period |
R |
0.1914326964837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6248c1 49984n1 112464a1 |
Quadratic twists by: -4 8 -3 |