Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570h |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
44382230871680000 = 210 · 54 · 132 · 177 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104046,7964843] |
[a1,a2,a3,a4,a6] |
j |
5160676199041/1838720000 |
j-invariant |
L |
6.6018081346052 |
L(r)(E,1)/r! |
Ω |
0.33009040673161 |
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 |
2210f1 |
Quadratic twists by: 17 |