Atkin-Lehner |
5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12325b |
Isogeny class |
Conductor |
12325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
4814453125 = 510 · 17 · 29 |
Discriminant |
Eigenvalues |
1 -1 5+ 0 -1 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5950,-179125] |
[a1,a2,a3,a4,a6] |
Generators |
[-97838:55121:2197] |
Generators of the group modulo torsion |
j |
2386099825/493 |
j-invariant |
L |
4.1102813801773 |
L(r)(E,1)/r! |
Ω |
0.54358341063435 |
Real period |
R |
7.5614547827733 |
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 |
110925bj1 12325i1 |
Quadratic twists by: -3 5 |