Atkin-Lehner |
2+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23030p |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
24772173440000 = 210 · 54 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 2 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13402,-552684] |
[a1,a2,a3,a4,a6] |
j |
2263054145689/210560000 |
j-invariant |
L |
3.5708723243353 |
L(r)(E,1)/r! |
Ω |
0.44635904054192 |
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 |
115150cb1 3290a1 |
Quadratic twists by: 5 -7 |