Atkin-Lehner |
2+ 3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570l |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6881280 |
Modular degree for the optimal curve |
Δ |
-4.7544465462593E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13732335,-19862380499] |
[a1,a2,a3,a4,a6] |
Generators |
[3120935125:4777444387294:1331] |
Generators of the group modulo torsion |
j |
-392852363268392801368561/6521874549052538880 |
j-invariant |
L |
4.5953389926437 |
L(r)(E,1)/r! |
Ω |
0.039174669705549 |
Real period |
R |
14.662979422238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999706668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190ba1 |
Quadratic twists by: -3 |