Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1240g |
Isogeny class |
Conductor |
1240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
1847042000 = 24 · 53 · 314 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-362,-1659] |
[a1,a2,a3,a4,a6] |
j |
327890958336/115440125 |
j-invariant |
L |
1.689342704938 |
L(r)(E,1)/r! |
Ω |
1.1262284699586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2480e1 9920f1 11160f1 6200e1 |
Quadratic twists by: -4 8 -3 5 |