Atkin-Lehner |
11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
38291a |
Isogeny class |
Conductor |
38291 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
-301126829663099 = -1 · 112 · 597 |
Discriminant |
Eigenvalues |
1 1 -1 1 11+ 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3554,-839165] |
[a1,a2,a3,a4,a6] |
j |
-117649/7139 |
j-invariant |
L |
0.95994488574409 |
L(r)(E,1)/r! |
Ω |
0.23998622143544 |
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 |
649a1 |
Quadratic twists by: -59 |