Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570j |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
401649148160 = 28 · 5 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1933,-11339] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:1253:8] |
Generators of the group modulo torsion |
j |
33076161/16640 |
j-invariant |
L |
7.4580831108675 |
L(r)(E,1)/r! |
Ω |
0.75899765685321 |
Real period |
R |
2.4565566980103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
130b1 |
Quadratic twists by: 17 |