Atkin-Lehner |
5+ 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
86275l |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-19273026171875 = -1 · 58 · 7 · 172 · 293 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 0 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,5592,-138657] |
[a1,a2,a3,a4,a6] |
j |
1237449568256/1233473675 |
j-invariant |
L |
4.4810617107539 |
L(r)(E,1)/r! |
Ω |
0.3734218232705 |
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 |
17255a1 |
Quadratic twists by: 5 |