Atkin-Lehner |
2- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570bd |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
117312 |
Modular degree for the optimal curve |
Δ |
-4323372821300 = -1 · 22 · 52 · 138 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- 0 4 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595,-100443] |
[a1,a2,a3,a4,a6] |
j |
-28561/5300 |
j-invariant |
L |
4.1562958929486 |
L(r)(E,1)/r! |
Ω |
0.34635799073651 |
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 |
89570e1 |
Quadratic twists by: 13 |