Atkin-Lehner |
5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38675j |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1361664 |
Modular degree for the optimal curve |
Δ |
539701954935325 = 52 · 76 · 133 · 174 |
Discriminant |
Eigenvalues |
2 1 5+ 7- -4 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5532868,5007416079] |
[a1,a2,a3,a4,a6] |
j |
749263729182200675553280/21588078197413 |
j-invariant |
L |
4.5628583211088 |
L(r)(E,1)/r! |
Ω |
0.38023819342541 |
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 |
38675v1 |
Quadratic twists by: 5 |