Atkin-Lehner |
2+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
120328a |
Isogeny class |
Conductor |
120328 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-4.6644109726102E+21 |
Discriminant |
Eigenvalues |
2+ 1 1 0 2 13+ 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2814920,3754279712] |
[a1,a2,a3,a4,a6] |
j |
-499070576480836/943706046881 |
j-invariant |
L |
2.4504148013603 |
L(r)(E,1)/r! |
Ω |
0.12252076821831 |
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 |
9256b1 |
Quadratic twists by: 13 |