Atkin-Lehner |
2+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11374c |
Isogeny class |
Conductor |
11374 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-37788249664 = -1 · 26 · 112 · 474 |
Discriminant |
Eigenvalues |
2+ 0 3 -4 11- 5 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1238,-18892] |
[a1,a2,a3,a4,a6] |
j |
-1734992444097/312299584 |
j-invariant |
L |
1.5940453692135 |
L(r)(E,1)/r! |
Ω |
0.39851134230337 |
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 |
90992v1 102366bt1 11374h1 |
Quadratic twists by: -4 -3 -11 |