Atkin-Lehner |
5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15575a |
Isogeny class |
Conductor |
15575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
32606353759765625 = 516 · 74 · 89 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85255,4061622] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:621:1] |
Generators of the group modulo torsion |
j |
4385897588651769/2086806640625 |
j-invariant |
L |
2.7525780150478 |
L(r)(E,1)/r! |
Ω |
0.32936618044217 |
Real period |
R |
4.1785984392091 |
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 |
3115b1 109025l1 |
Quadratic twists by: 5 -7 |