Atkin-Lehner |
2- 3- 11+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25806l |
Isogeny class |
Conductor |
25806 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
649728 |
Modular degree for the optimal curve |
Δ |
92175442328420352 = 224 · 33 · 113 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11+ 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-372845,-86432559] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:1279:1] |
Generators of the group modulo torsion |
j |
5732033965084245606481/92175442328420352 |
j-invariant |
L |
7.6162988012719 |
L(r)(E,1)/r! |
Ω |
0.19339303391493 |
Real period |
R |
0.54697899740263 |
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 |
77418n1 |
Quadratic twists by: -3 |