Atkin-Lehner |
2- 3- 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37842s |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1346867974954908 = 22 · 33 · 712 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-521427,144869157] |
[a1,a2,a3,a4,a6] |
j |
15678492804067490519473/1346867974954908 |
j-invariant |
L |
5.5206616402019 |
L(r)(E,1)/r! |
Ω |
0.46005513668055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113526h4 |
Quadratic twists by: -3 |