Atkin-Lehner |
23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31487c |
Isogeny class |
Conductor |
31487 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8280 |
Modular degree for the optimal curve |
Δ |
-1165019 = -1 · 23 · 373 |
Discriminant |
Eigenvalues |
-2 1 3 -2 -2 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-234,-1460] |
[a1,a2,a3,a4,a6] |
Generators |
[170:477:8] |
Generators of the group modulo torsion |
j |
-28094464/23 |
j-invariant |
L |
3.6556549237496 |
L(r)(E,1)/r! |
Ω |
0.61008411879035 |
Real period |
R |
2.9960253112293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31487a1 |
Quadratic twists by: 37 |