Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725g |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-20109375 = -1 · 32 · 56 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49,173] |
[a1,a2,a3,a4,a6] |
Generators |
[1326:16433:8] |
Generators of the group modulo torsion |
j |
857375/1287 |
j-invariant |
L |
6.4077574924307 |
L(r)(E,1)/r! |
Ω |
1.4687786380129 |
Real period |
R |
4.3626434416963 |
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 |
32175j1 429a1 117975ca1 |
Quadratic twists by: -3 5 -11 |