Atkin-Lehner |
3- 5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30015o |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
-4748466796875 = -1 · 36 · 510 · 23 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- -2 0 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-882192,-318928118] |
[a1,a2,a3,a4,a6] |
Generators |
[1492:41062:1] |
Generators of the group modulo torsion |
j |
-104156296498930253824/6513671875 |
j-invariant |
L |
4.890623601375 |
L(r)(E,1)/r! |
Ω |
0.077889475364875 |
Real period |
R |
3.1394636942056 |
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 |
3335a1 |
Quadratic twists by: -3 |