Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bg |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
5080320 |
Modular degree for the optimal curve |
Δ |
-3.6913913964976E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76163409,-272008092195] |
[a1,a2,a3,a4,a6] |
Generators |
[31269:5268207:1] |
Generators of the group modulo torsion |
j |
-67024766588959493312172049/5063637032232592343040 |
j-invariant |
L |
4.6307562817481 |
L(r)(E,1)/r! |
Ω |
0.025442058411037 |
Real period |
R |
4.3336156283075 |
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 |
6510x1 97650dm1 |
Quadratic twists by: -3 5 |