Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496bb |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-950242289601024 = -1 · 29 · 33 · 74 · 315 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -1 -5 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,597,-1483106] |
[a1,a2,a3,a4,a6] |
Generators |
[117:434:1] [125:738:1] |
Generators of the group modulo torsion |
j |
1702209384/68738591551 |
j-invariant |
L |
9.8048119403932 |
L(r)(E,1)/r! |
Ω |
0.22849391011461 |
Real period |
R |
0.53638256351476 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496a1 124992u1 62496e1 |
Quadratic twists by: -4 8 -3 |