Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5016c |
Isogeny class |
Conductor |
5016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
12198912 = 210 · 3 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3968,94896] |
[a1,a2,a3,a4,a6] |
j |
6749136170500/11913 |
j-invariant |
L |
1.9295300661332 |
L(r)(E,1)/r! |
Ω |
1.9295300661332 |
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 |
10032b1 40128l1 15048f1 125400bv1 |
Quadratic twists by: -4 8 -3 5 |