Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62328y |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
293190912 = 28 · 32 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -3 3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604,5860] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:6:1] [-2:-84:1] |
Generators of the group modulo torsion |
j |
39711952/477 |
j-invariant |
L |
7.8360026634135 |
L(r)(E,1)/r! |
Ω |
1.736148822889 |
Real period |
R |
0.18805997888601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656u1 62328bn1 |
Quadratic twists by: -4 -7 |