Atkin-Lehner |
3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775h |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
91200 |
Modular degree for the optimal curve |
Δ |
-245373046875 = -1 · 35 · 59 · 11 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 5- 1 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13458,-596932] |
[a1,a2,a3,a4,a6] |
j |
-138028101632/125631 |
j-invariant |
L |
0.44322886001695 |
L(r)(E,1)/r! |
Ω |
0.2216144300005 |
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 |
116325bl1 38775q1 |
Quadratic twists by: -3 5 |