Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976bp |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-995173408047104 = -1 · 217 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ -3 3 3 11- 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19604,1089712] |
[a1,a2,a3,a4,a6] |
j |
1317006/1573 |
j-invariant |
L |
2.6420405124753 |
L(r)(E,1)/r! |
Ω |
0.33025490890758 |
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 |
118976cm1 14872i1 9152h1 |
Quadratic twists by: -4 8 13 |