Atkin-Lehner |
5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13225n |
Isogeny class |
Conductor |
13225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
1033203125 = 59 · 232 |
Discriminant |
Eigenvalues |
-2 -2 5- 4 3 4 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-958,10994] |
[a1,a2,a3,a4,a6] |
Generators |
[8:62:1] |
Generators of the group modulo torsion |
j |
94208 |
j-invariant |
L |
1.9774543999193 |
L(r)(E,1)/r! |
Ω |
1.5640352486988 |
Real period |
R |
0.63216426917629 |
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 |
119025cr1 13225l1 13225o1 |
Quadratic twists by: -3 5 -23 |