Atkin-Lehner |
5+ 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123025i |
Isogeny class |
Conductor |
123025 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1275264000 |
Modular degree for the optimal curve |
Δ |
-1.4544784235595E+35 |
Discriminant |
Eigenvalues |
-2 1 5+ 7+ 1 3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23344739908,-18400268972817156] |
[a1,a2,a3,a4,a6] |
Generators |
[5962934994:6482840817856:4913] |
Generators of the group modulo torsion |
j |
-90047322758940602467636646170624/9308661910780955456024169921875 |
j-invariant |
L |
4.156175347429 |
L(r)(E,1)/r! |
Ω |
0.004566114723775 |
Real period |
R |
4.7407364708735 |
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 |
24605b1 |
Quadratic twists by: 5 |