Atkin-Lehner |
2- 3+ 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178bd |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
403122291264 = 26 · 33 · 74 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5681,163361] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:568:1] [-15:502:1] |
Generators of the group modulo torsion |
j |
750866355217971/14930455232 |
j-invariant |
L |
14.84736281487 |
L(r)(E,1)/r! |
Ω |
0.94731376246571 |
Real period |
R |
0.870728920383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178a1 |
Quadratic twists by: -3 |