Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8736f |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
-335602176 = -1 · 29 · 3 · 75 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 3 13+ 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112,956] |
[a1,a2,a3,a4,a6] |
j |
-306182024/655473 |
j-invariant |
L |
1.5197826026552 |
L(r)(E,1)/r! |
Ω |
1.5197826026552 |
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 |
8736t1 17472f1 26208bg1 61152n1 |
Quadratic twists by: -4 8 -3 -7 |