Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
103684j |
Isogeny class |
Conductor |
103684 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-6409188944225648 = -1 · 24 · 76 · 237 |
Discriminant |
Eigenvalues |
2- 3 -2 7- -2 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25921,4173281] |
[a1,a2,a3,a4,a6] |
j |
-6912/23 |
j-invariant |
L |
4.4516455359193 |
L(r)(E,1)/r! |
Ω |
0.37097048477062 |
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 |
2116d1 4508d1 |
Quadratic twists by: -7 -23 |