Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675s |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1760351484375 = -1 · 34 · 57 · 114 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2999,9023] |
[a1,a2,a3,a4,a6] |
Generators |
[217:3191:1] |
Generators of the group modulo torsion |
j |
191003460479/112662495 |
j-invariant |
L |
7.1087453908682 |
L(r)(E,1)/r! |
Ω |
0.50951231327905 |
Real period |
R |
0.87200363043224 |
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 |
47025n1 3135b1 |
Quadratic twists by: -3 5 |