Atkin-Lehner |
2- 3- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
12726i |
Isogeny class |
Conductor |
12726 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-1616303808 = -1 · 26 · 36 · 73 · 101 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2921,-60055] |
[a1,a2,a3,a4,a6] |
j |
-3779648905033/2217152 |
j-invariant |
L |
1.9482032189565 |
L(r)(E,1)/r! |
Ω |
0.32470053649274 |
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 |
101808z1 1414a1 89082bh1 |
Quadratic twists by: -4 -3 -7 |