Atkin-Lehner |
2+ 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640j |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15860581345440000 = 28 · 38 · 54 · 134 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64983,1984682] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:2700:1] [-113:2808:1] |
Generators of the group modulo torsion |
j |
162613085244496/84986825625 |
j-invariant |
L |
10.864835488445 |
L(r)(E,1)/r! |
Ω |
0.34476102014846 |
Real period |
R |
3.9392633063663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994067 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35880q2 |
Quadratic twists by: -3 |