Atkin-Lehner |
2+ 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23712f |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-14650021761024 = -1 · 212 · 3 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35729,-2594079] |
[a1,a2,a3,a4,a6] |
j |
-1231511588068672/3576665469 |
j-invariant |
L |
2.4303332365672 |
L(r)(E,1)/r! |
Ω |
0.17359523118338 |
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 |
23712v1 47424bl1 71136bl1 |
Quadratic twists by: -4 8 -3 |