Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240ct |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
39346560 |
Modular degree for the optimal curve |
Δ |
-8.5915662800734E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,463169104,-2273090465196] |
[a1,a2,a3,a4,a6] |
Generators |
[12850:2408448:1] |
Generators of the group modulo torsion |
j |
2682764238865722971266721231/2097550361346048000000000 |
j-invariant |
L |
7.8971602075495 |
L(r)(E,1)/r! |
Ω |
0.022980023068518 |
Real period |
R |
1.5620603450013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030n1 |
Quadratic twists by: -4 |