Atkin-Lehner |
5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13225i |
Isogeny class |
Conductor |
13225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
4752734375 = 58 · 233 |
Discriminant |
Eigenvalues |
-1 -2 5- -5 5 -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35638,-2592483] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:55:1] |
Generators of the group modulo torsion |
j |
1053224375 |
j-invariant |
L |
1.3775838046088 |
L(r)(E,1)/r! |
Ω |
0.347473096973 |
Real period |
R |
1.9822884370179 |
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 |
119025cl1 13225d1 13225h1 |
Quadratic twists by: -3 5 -23 |