Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71736n |
Isogeny class |
Conductor |
71736 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-6333355064281392 = -1 · 24 · 35 · 76 · 614 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56807,-6485718] |
[a1,a2,a3,a4,a6] |
j |
-10770322266112/3364539363 |
j-invariant |
L |
3.0437690928183 |
L(r)(E,1)/r! |
Ω |
0.15218845526911 |
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 |
1464f1 |
Quadratic twists by: -7 |