Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350t |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-9971000000 = -1 · 26 · 56 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3 5+ 5 0 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,120,4747] |
[a1,a2,a3,a4,a6] |
j |
12326391/638144 |
j-invariant |
L |
11.756985340805 |
L(r)(E,1)/r! |
Ω |
0.97974877839668 |
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 |
1534b1 |
Quadratic twists by: 5 |