Atkin-Lehner |
2- 3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394bl |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
23063040 |
Modular degree for the optimal curve |
Δ |
1.3017443665879E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-294762234,-1947200799609] |
[a1,a2,a3,a4,a6] |
Generators |
[-9879:32139:1] |
Generators of the group modulo torsion |
j |
1201171623659064689507/552066685599744 |
j-invariant |
L |
6.5478809749633 |
L(r)(E,1)/r! |
Ω |
0.036437080709248 |
Real period |
R |
2.9950629243164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007343 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86394g1 |
Quadratic twists by: -11 |