Atkin-Lehner |
2- 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394bx |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-210752935903818 = -1 · 2 · 35 · 7 · 118 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32249,2322497] |
[a1,a2,a3,a4,a6] |
j |
-17303415217/983178 |
j-invariant |
L |
3.3286342375572 |
L(r)(E,1)/r! |
Ω |
0.55477237889087 |
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 |
86394k1 |
Quadratic twists by: -11 |