Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570g |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
6.070812829952E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3325461,2009311739] |
[a1,a2,a3,a4,a6] |
j |
827813553991775477153/123566310400000000 |
j-invariant |
L |
4.9953248595463 |
L(r)(E,1)/r! |
Ω |
0.15610390186121 |
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 |
37570p1 |
Quadratic twists by: 17 |