Atkin-Lehner |
2+ 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350bf |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-2242085806080000 = -1 · 216 · 312 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -2 -1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100017,-12361059] |
[a1,a2,a3,a4,a6] |
j |
-242851102993825/4920901632 |
j-invariant |
L |
0.5362774408912 |
L(r)(E,1)/r! |
Ω |
0.13406936016876 |
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 |
15450bi1 46350bw1 |
Quadratic twists by: -3 5 |