Atkin-Lehner |
2+ 3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12810b |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1663200 |
Modular degree for the optimal curve |
Δ |
-2.2170124835318E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6494803,-9589541843] |
[a1,a2,a3,a4,a6] |
Generators |
[114493820645718152862:5566533148652358965299:26086559003692552] |
Generators of the group modulo torsion |
j |
-30298544384700485159470009/22170124835318241331200 |
j-invariant |
L |
3.0328346599987 |
L(r)(E,1)/r! |
Ω |
0.045819232851733 |
Real period |
R |
33.095650791587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102480bz1 38430bo1 64050cl1 89670bd1 |
Quadratic twists by: -4 -3 5 -7 |