Atkin-Lehner |
2- 3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630bj |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
12524292900000000 = 28 · 311 · 58 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62213,-2569219] |
[a1,a2,a3,a4,a6] |
j |
36528603706715401/17180100000000 |
j-invariant |
L |
2.5316389083332 |
L(r)(E,1)/r! |
Ω |
0.31645486398972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210r1 |
Quadratic twists by: -3 |