Atkin-Lehner |
13- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86411m |
Isogeny class |
Conductor |
86411 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
-24972779 = -1 · 13 · 174 · 23 |
Discriminant |
Eigenvalues |
-2 -1 -1 -3 -5 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-96,468] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-9:1] [-54:217:8] |
Generators of the group modulo torsion |
j |
-1183744/299 |
j-invariant |
L |
3.1279366259159 |
L(r)(E,1)/r! |
Ω |
2.0218936235265 |
Real period |
R |
0.51567774382531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86411f1 |
Quadratic twists by: 17 |