Atkin-Lehner |
5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
24475d |
Isogeny class |
Conductor |
24475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-850888671875 = -1 · 510 · 11 · 892 |
Discriminant |
Eigenvalues |
1 0 5+ -2 11- -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,308,-44409] |
[a1,a2,a3,a4,a6] |
Generators |
[390:2133:8] |
Generators of the group modulo torsion |
j |
206425071/54456875 |
j-invariant |
L |
4.7604695578635 |
L(r)(E,1)/r! |
Ω |
0.41844803507975 |
Real period |
R |
5.6882446071903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895d2 |
Quadratic twists by: 5 |