Atkin-Lehner |
2- 3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464bi |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-184265108471808 = -1 · 214 · 310 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33320,-2419344] |
[a1,a2,a3,a4,a6] |
j |
-998830456240681/44986598748 |
j-invariant |
L |
1.4097454472304 |
L(r)(E,1)/r! |
Ω |
0.17621817572961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558h1 |
Quadratic twists by: -4 |