Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640bc |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
156415989600000000 = 211 · 37 · 58 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151563,-12398362] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:2990:1] |
Generators of the group modulo torsion |
j |
257896715141522/104766796875 |
j-invariant |
L |
6.2479531422471 |
L(r)(E,1)/r! |
Ω |
0.25069433925803 |
Real period |
R |
3.1153241959442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880b2 |
Quadratic twists by: -3 |