Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440x |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
2569454160 = 24 · 3 · 5 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22311,1275294] |
[a1,a2,a3,a4,a6] |
Generators |
[230:2892:1] |
Generators of the group modulo torsion |
j |
652517349376/1365 |
j-invariant |
L |
6.4781317632233 |
L(r)(E,1)/r! |
Ω |
1.2425008403561 |
Real period |
R |
5.2137846137559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920g1 |
Quadratic twists by: -7 |