Atkin-Lehner |
2+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101614a |
Isogeny class |
Conductor |
101614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
182470557089312 = 25 · 232 · 476 |
Discriminant |
Eigenvalues |
2+ 0 -4 -4 -2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-375944,88813984] |
[a1,a2,a3,a4,a6] |
Generators |
[-599:10240:1] [247:3190:1] |
Generators of the group modulo torsion |
j |
545138290809/16928 |
j-invariant |
L |
4.7752340121164 |
L(r)(E,1)/r! |
Ω |
0.53048523376536 |
Real period |
R |
4.5008170898923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46a2 |
Quadratic twists by: -47 |