Atkin-Lehner |
2+ 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
38350c |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-405071875000000 = -1 · 26 · 511 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 1 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6542,-987884] |
[a1,a2,a3,a4,a6] |
j |
-1981858514481/25924600000 |
j-invariant |
L |
0.90970330190825 |
L(r)(E,1)/r! |
Ω |
0.22742582548915 |
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 |
7670j1 |
Quadratic twists by: 5 |