Atkin-Lehner |
2+ 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
31160d |
Isogeny class |
Conductor |
31160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-7976960 = -1 · 211 · 5 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 1 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-547,4926] |
[a1,a2,a3,a4,a6] |
j |
-8838035442/3895 |
j-invariant |
L |
2.2993776809567 |
L(r)(E,1)/r! |
Ω |
2.2993776809566 |
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 |
62320b1 |
Quadratic twists by: -4 |