Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244v |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-4912533834764976 = -1 · 24 · 37 · 711 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46452,-5120647] |
[a1,a2,a3,a4,a6] |
Generators |
[1624:64827:1] |
Generators of the group modulo torsion |
j |
-8077950976/3579891 |
j-invariant |
L |
5.8505389256764 |
L(r)(E,1)/r! |
Ω |
0.15918003919822 |
Real period |
R |
1.5314260066245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000142463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748d1 17892f1 |
Quadratic twists by: -3 -7 |