Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320k |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
16627855016864000 = 28 · 53 · 72 · 139 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71036,3799264] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:2358:1] |
Generators of the group modulo torsion |
j |
14602768/6125 |
j-invariant |
L |
4.0169617102596 |
L(r)(E,1)/r! |
Ω |
0.35329033372649 |
Real period |
R |
5.6850716348187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640f1 47320bb1 |
Quadratic twists by: -4 13 |