Atkin-Lehner |
2+ 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488b |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
1186082860032 = 210 · 36 · 7 · 613 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -3 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17211,-867494] |
[a1,a2,a3,a4,a6] |
j |
755291402212/1588867 |
j-invariant |
L |
0.83374437182439 |
L(r)(E,1)/r! |
Ω |
0.41687218423099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30744g1 6832a1 |
Quadratic twists by: -4 -3 |