Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
52598y |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10967040 |
Modular degree for the optimal curve |
Δ |
9.9417837519816E+20 |
Discriminant |
Eigenvalues |
2- 3 2 7+ 4 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54301854,154023613741] |
[a1,a2,a3,a4,a6] |
j |
2538494967718840113/142519057408 |
j-invariant |
L |
11.822306448896 |
L(r)(E,1)/r! |
Ω |
0.14777883061074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598bh1 |
Quadratic twists by: 17 |