Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350f |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-9.4579865889604E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,23769333,14130316741] |
[a1,a2,a3,a4,a6] |
j |
130384850244802923671/83033078421600000 |
j-invariant |
L |
1.9763913969949 |
L(r)(E,1)/r! |
Ω |
0.054899761027733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450n1 7470p1 |
Quadratic twists by: -3 5 |