Atkin-Lehner |
2+ 3+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102c |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-2740975848 = -1 · 23 · 39 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 5 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-528,-5176] |
[a1,a2,a3,a4,a6] |
j |
-827936019/139256 |
j-invariant |
L |
1.9735739877532 |
L(r)(E,1)/r! |
Ω |
0.49339349693829 |
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 |
24102u1 |
Quadratic twists by: -3 |