Atkin-Lehner |
2- 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10626m |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
928 |
Modular degree for the optimal curve |
Δ |
-21252 = -1 · 22 · 3 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-25] |
[a1,a2,a3,a4,a6] |
j |
-244140625/21252 |
j-invariant |
L |
2.5008470888325 |
L(r)(E,1)/r! |
Ω |
1.2504235444162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85008cf1 31878d1 74382bx1 116886h1 |
Quadratic twists by: -4 -3 -7 -11 |