Atkin-Lehner |
5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
15575f |
Isogeny class |
Conductor |
15575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-2707373046875 = -1 · 511 · 7 · 892 |
Discriminant |
Eigenvalues |
-2 1 5+ 7- 1 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2592,61594] |
[a1,a2,a3,a4,a6] |
Generators |
[13:312:1] |
Generators of the group modulo torsion |
j |
123208626176/173271875 |
j-invariant |
L |
2.8143646004657 |
L(r)(E,1)/r! |
Ω |
0.54660056325935 |
Real period |
R |
0.64360631639396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3115a1 109025i1 |
Quadratic twists by: 5 -7 |