Atkin-Lehner |
2+ 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
51912c |
Isogeny class |
Conductor |
51912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
1589441616 = 24 · 39 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45414,-3725055] |
[a1,a2,a3,a4,a6] |
j |
32891350358016/5047 |
j-invariant |
L |
0.65408187494482 |
L(r)(E,1)/r! |
Ω |
0.32704093802452 |
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 |
103824c1 51912l1 |
Quadratic twists by: -4 -3 |