Atkin-Lehner |
2- 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394bt |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
2427600 |
Modular degree for the optimal curve |
Δ |
-1791302462169808896 = -1 · 217 · 33 · 75 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1766300,905090429] |
[a1,a2,a3,a4,a6] |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
4.513137275794 |
L(r)(E,1)/r! |
Ω |
0.26547866729444 |
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 |
714c1 |
Quadratic twists by: -11 |