Atkin-Lehner |
2+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
120328b |
Isogeny class |
Conductor |
120328 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1003392 |
Modular degree for the optimal curve |
Δ |
-25127743026300928 = -1 · 211 · 1310 · 89 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 -1 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-694984,222901680] |
[a1,a2,a3,a4,a6] |
j |
-131487746/89 |
j-invariant |
L |
0.3738424641648 |
L(r)(E,1)/r! |
Ω |
0.37384279575259 |
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 |
120328h1 |
Quadratic twists by: 13 |