Atkin-Lehner |
2+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7990b |
Isogeny class |
Conductor |
7990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
277832115200 = 210 · 52 · 173 · 472 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2057,-26299] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:109:1] |
Generators of the group modulo torsion |
j |
963288634285081/277832115200 |
j-invariant |
L |
4.227097146955 |
L(r)(E,1)/r! |
Ω |
0.72447290824474 |
Real period |
R |
2.9173604001262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63920i1 71910z1 39950r1 |
Quadratic twists by: -4 -3 5 |