Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675t |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
18000 |
Modular degree for the optimal curve |
Δ |
-18589311675 = -1 · 35 · 52 · 115 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11- -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1548,23834] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:214:1] |
Generators of the group modulo torsion |
j |
-16420149022720/743572467 |
j-invariant |
L |
2.5857798857748 |
L(r)(E,1)/r! |
Ω |
1.2123749500453 |
Real period |
R |
2.132821934071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
47025o1 15675o2 |
Quadratic twists by: -3 5 |