Atkin-Lehner |
5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34385k |
Isogeny class |
Conductor |
34385 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
229632 |
Modular degree for the optimal curve |
Δ |
-190246749867029375 = -1 · 54 · 132 · 239 |
Discriminant |
Eigenvalues |
1 0 5- -2 -2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,105701,16265568] |
[a1,a2,a3,a4,a6] |
j |
72511713/105625 |
j-invariant |
L |
0.86465726291534 |
L(r)(E,1)/r! |
Ω |
0.21616431573178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34385c1 |
Quadratic twists by: -23 |