Atkin-Lehner |
2+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
106090b |
Isogeny class |
Conductor |
106090 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29580 |
Modular degree for the optimal curve |
Δ |
-42436000 = -1 · 25 · 53 · 1032 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 3 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,37,317] |
[a1,a2,a3,a4,a6] |
j |
506039/4000 |
j-invariant |
L |
1.48318157397 |
L(r)(E,1)/r! |
Ω |
1.4831818050377 |
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 |
106090c1 |
Quadratic twists by: -103 |