Atkin-Lehner |
2- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
62524g |
Isogeny class |
Conductor |
62524 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
83328 |
Modular degree for the optimal curve |
Δ |
205964810128 = 24 · 79 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 1 4 7- 11- 5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1486,2617] |
[a1,a2,a3,a4,a6] |
j |
562432/319 |
j-invariant |
L |
5.1695941649287 |
L(r)(E,1)/r! |
Ω |
0.86159902686928 |
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 |
62524i1 |
Quadratic twists by: -7 |