Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582h |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
1642553219328 = 28 · 3 · 79 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2966,7592] |
[a1,a2,a3,a4,a6] |
Generators |
[27156:846481:27] |
Generators of the group modulo torsion |
j |
71473375/40704 |
j-invariant |
L |
4.4954901131392 |
L(r)(E,1)/r! |
Ω |
0.72331707280167 |
Real period |
R |
6.2151030055554 |
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 |
124656bw1 46746bm1 15582b1 |
Quadratic twists by: -4 -3 -7 |