Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394cp |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-647695818 = -1 · 2 · 33 · 73 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-118,-1330] |
[a1,a2,a3,a4,a6] |
Generators |
[134:239:8] |
Generators of the group modulo torsion |
j |
-1502499625/5352858 |
j-invariant |
L |
12.695559995493 |
L(r)(E,1)/r! |
Ω |
0.66440007176618 |
Real period |
R |
3.1847176972546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394bg1 |
Quadratic twists by: -11 |