Atkin-Lehner |
5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15575a |
Isogeny class |
Conductor |
15575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2229638121142578125 = -1 · 511 · 78 · 892 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,305370,30624122] |
[a1,a2,a3,a4,a6] |
Generators |
[-655633:5431314:6859] |
Generators of the group modulo torsion |
j |
201550614533598231/142696839753125 |
j-invariant |
L |
2.7525780150478 |
L(r)(E,1)/r! |
Ω |
0.16468309022108 |
Real period |
R |
8.3571968784182 |
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 |
3115b2 109025l2 |
Quadratic twists by: 5 -7 |