Atkin-Lehner |
2- 3- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650ch |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-943593750000 = -1 · 24 · 32 · 510 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2312,18992] |
[a1,a2,a3,a4,a6] |
j |
87469256519/60390000 |
j-invariant |
L |
4.458410928722 |
L(r)(E,1)/r! |
Ω |
0.55730138550945 |
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 |
20130d1 |
Quadratic twists by: 5 |