Atkin-Lehner |
2+ 5+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550b |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44551718750000 = 24 · 510 · 72 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12413776,-16835678802] |
[a1,a2,a3,a4,a6] |
Generators |
[6997:485251:1] |
Generators of the group modulo torsion |
j |
13539896648340897220849/2851310000 |
j-invariant |
L |
2.3348664898781 |
L(r)(E,1)/r! |
Ω |
0.080431021190699 |
Real period |
R |
3.6286784315666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710e2 |
Quadratic twists by: 5 |