Atkin-Lehner |
2+ 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
125398d |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138432 |
Modular degree for the optimal curve |
Δ |
-296691668 = -1 · 22 · 72 · 134 · 53 |
Discriminant |
Eigenvalues |
2+ -3 -2 7+ 0 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1468,22036] |
[a1,a2,a3,a4,a6] |
Generators |
[10:86:1] [-25:219:1] |
Generators of the group modulo torsion |
j |
-12254479497/10388 |
j-invariant |
L |
4.1941183018686 |
L(r)(E,1)/r! |
Ω |
1.7161383799256 |
Real period |
R |
0.2036606509748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999676852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125398v1 |
Quadratic twists by: 13 |