Atkin-Lehner |
3- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23715l |
Isogeny class |
Conductor |
23715 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-548552094834375 = -1 · 37 · 55 · 174 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25119,-1895792] |
[a1,a2,a3,a4,a6] |
j |
-2404434478292209/752472009375 |
j-invariant |
L |
3.7325084296584 |
L(r)(E,1)/r! |
Ω |
0.18662542148292 |
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 |
7905a1 118575h1 |
Quadratic twists by: -3 5 |