Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244bc |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15301440 |
Modular degree for the optimal curve |
Δ |
8.372618558736E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 -2 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108959781,437771239913] |
[a1,a2,a3,a4,a6] |
Generators |
[1374693976:119120550401:103823] |
Generators of the group modulo torsion |
j |
43420464592836352/25411681 |
j-invariant |
L |
8.649221828151 |
L(r)(E,1)/r! |
Ω |
0.15810504166239 |
Real period |
R |
13.676385222001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13916e1 125244l1 |
Quadratic twists by: -3 -7 |