Atkin-Lehner |
2+ 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370g |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-63932903424000 = -1 · 215 · 39 · 53 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2790,389556] |
[a1,a2,a3,a4,a6] |
j |
-3295310559841/87699456000 |
j-invariant |
L |
1.0394812458082 |
L(r)(E,1)/r! |
Ω |
0.51974062784182 |
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 |
23790v1 |
Quadratic twists by: -3 |