Atkin-Lehner |
3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7725n |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-14964116387625 = -1 · 319 · 53 · 103 |
Discriminant |
Eigenvalues |
1 3- 5- 3 2 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-956,186383] |
[a1,a2,a3,a4,a6] |
Generators |
[237:3526:1] |
Generators of the group modulo torsion |
j |
-771852260717/119712931101 |
j-invariant |
L |
6.4509871758532 |
L(r)(E,1)/r! |
Ω |
0.57340644875773 |
Real period |
R |
0.29606018694937 |
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 |
123600bp1 23175t1 7725g1 |
Quadratic twists by: -4 -3 5 |