Atkin-Lehner |
2+ 3+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350i |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129792 |
Modular degree for the optimal curve |
Δ |
-185645260800 = -1 · 213 · 34 · 52 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 3 3 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,320,-20480] |
[a1,a2,a3,a4,a6] |
j |
144248508815/7425810432 |
j-invariant |
L |
1.9342662291968 |
L(r)(E,1)/r! |
Ω |
0.4835665567723 |
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 |
88350da1 |
Quadratic twists by: 5 |