Atkin-Lehner |
2- 3- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170q |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
37779840 |
Modular degree for the optimal curve |
Δ |
-2.7215597048071E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,742089244,-1567091491680] |
[a1,a2,a3,a4,a6] |
j |
45195180240874115838780443754431/27215597048071496867156250000 |
j-invariant |
L |
6.1085978646806 |
L(r)(E,1)/r! |
Ω |
0.021816420945105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510n1 |
Quadratic twists by: -3 |