Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10626h |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-231722287104 = -1 · 215 · 3 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-63389,6137528] |
[a1,a2,a3,a4,a6] |
Generators |
[146:-57:1] |
Generators of the group modulo torsion |
j |
-28167971010661685449/231722287104 |
j-invariant |
L |
4.0789643967158 |
L(r)(E,1)/r! |
Ω |
0.89145879158256 |
Real period |
R |
1.1439015564238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85008ba1 31878be1 74382h1 116886bp1 |
Quadratic twists by: -4 -3 -7 -11 |