Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192be |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-14744576 = -1 · 210 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-196] |
[a1,a2,a3,a4,a6] |
j |
-58564/119 |
j-invariant |
L |
1.7790054257641 |
L(r)(E,1)/r! |
Ω |
0.8895026325827 |
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 |
115192f1 |
Quadratic twists by: -11 |