Atkin-Lehner |
2+ 3- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746q |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
104960 |
Modular degree for the optimal curve |
Δ |
-24480832662 = -1 · 2 · 34 · 11 · 135 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 11+ 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-77851,-8367148] |
[a1,a2,a3,a4,a6] |
j |
-52180505182606515625/24480832662 |
j-invariant |
L |
2.8581443689858 |
L(r)(E,1)/r! |
Ω |
0.14290721844933 |
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 |
95238cu1 |
Quadratic twists by: -3 |