Atkin-Lehner |
2- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
62608j |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-2293620539392 = -1 · 220 · 7 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3275,-102534] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2002:1] |
Generators of the group modulo torsion |
j |
-948413390625/559965952 |
j-invariant |
L |
4.0990092716971 |
L(r)(E,1)/r! |
Ω |
0.30722685213661 |
Real period |
R |
3.3354907320033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7826h1 |
Quadratic twists by: -4 |