Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38870bn |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
336336 |
Modular degree for the optimal curve |
Δ |
-2931532278593750 = -1 · 2 · 57 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- -3 4 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-136077,19529579] |
[a1,a2,a3,a4,a6] |
j |
-341608037121/3593750 |
j-invariant |
L |
3.174408534787 |
L(r)(E,1)/r! |
Ω |
0.45348693354123 |
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 |
38870h1 |
Quadratic twists by: 13 |