Atkin-Lehner |
3+ 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
23157a |
Isogeny class |
Conductor |
23157 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-64157927391 = -1 · 33 · 315 · 83 |
Discriminant |
Eigenvalues |
1 3+ 1 -1 -4 -5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-129,12232] |
[a1,a2,a3,a4,a6] |
Generators |
[8:104:1] |
Generators of the group modulo torsion |
j |
-8831234763/2376219533 |
j-invariant |
L |
5.4922960220017 |
L(r)(E,1)/r! |
Ω |
0.89879135962524 |
Real period |
R |
3.0553787390056 |
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 |
23157b1 |
Quadratic twists by: -3 |