Atkin-Lehner |
5+ 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88825j |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-659248046875 = -1 · 510 · 11 · 17 · 192 |
Discriminant |
Eigenvalues |
-2 0 5+ -1 11- 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7925,-274344] |
[a1,a2,a3,a4,a6] |
j |
-3522909597696/42191875 |
j-invariant |
L |
1.0112767680491 |
L(r)(E,1)/r! |
Ω |
0.25281917090348 |
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 |
17765e1 |
Quadratic twists by: 5 |