Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588s |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-9.2923061078706E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3013608,-5056149436] |
[a1,a2,a3,a4,a6] |
j |
-3360132358144/10315633419 |
j-invariant |
L |
1.9046400228689 |
L(r)(E,1)/r! |
Ω |
0.052906667305176 |
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 |
14196e1 3276g1 |
Quadratic twists by: -3 13 |