Atkin-Lehner |
3- 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587f |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2499840 |
Modular degree for the optimal curve |
Δ |
-1.0986614443753E+21 |
Discriminant |
Eigenvalues |
0 3- 1 2 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5951262,-5811170882] |
[a1,a2,a3,a4,a6] |
Generators |
[41677926442138039178:5644178451337266666239:2231759115574568] |
Generators of the group modulo torsion |
j |
-31975945450489221382144/1507080170610780579 |
j-invariant |
L |
6.0095743007437 |
L(r)(E,1)/r! |
Ω |
0.048197468683746 |
Real period |
R |
31.171628224795 |
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 |
23529c1 |
Quadratic twists by: -3 |