Atkin-Lehner |
2+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116402o |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
-7682317065453961216 = -1 · 217 · 117 · 133 · 372 |
Discriminant |
Eigenvalues |
2+ 0 1 3 11- 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,385786,-96413388] |
[a1,a2,a3,a4,a6] |
Generators |
[947:32956:1] |
Generators of the group modulo torsion |
j |
3584316551198319/4336467705856 |
j-invariant |
L |
5.5628571598651 |
L(r)(E,1)/r! |
Ω |
0.12569638636443 |
Real period |
R |
3.6880251176453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582h1 |
Quadratic twists by: -11 |