Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gu |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
51426482688000 = 212 · 315 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33067380,-73189333600] |
[a1,a2,a3,a4,a6] |
Generators |
[-31768030409962:-4079968056:9568634867] |
Generators of the group modulo torsion |
j |
10713357105862263488/137781 |
j-invariant |
L |
6.7024579045379 |
L(r)(E,1)/r! |
Ω |
0.062957809353244 |
Real period |
R |
13.307439493172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800hq2 50400dz1 33600bg2 100800hs2 |
Quadratic twists by: -4 8 -3 5 |