Atkin-Lehner |
2- 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394by |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-185122481056128 = -1 · 27 · 315 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23779,-1565695] |
[a1,a2,a3,a4,a6] |
j |
-12289104689575417/1529937859968 |
j-invariant |
L |
2.6726007266858 |
L(r)(E,1)/r! |
Ω |
0.19090005857732 |
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 |
86394m1 |
Quadratic twists by: -11 |