Atkin-Lehner |
2- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400bt |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
117678080000000000 = 222 · 510 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144008,-13088012] |
[a1,a2,a3,a4,a6] |
j |
5160676199041/1838720000 |
j-invariant |
L |
1.0092095703604 |
L(r)(E,1)/r! |
Ω |
0.25230240836931 |
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 |
11050i1 17680k1 |
Quadratic twists by: -4 5 |