Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47652b |
Isogeny class |
Conductor |
47652 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-13756369968 = -1 · 24 · 39 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11+ 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,5574] |
[a1,a2,a3,a4,a6] |
Generators |
[10:88:1] |
Generators of the group modulo torsion |
j |
38912000/2381643 |
j-invariant |
L |
4.2572775522152 |
L(r)(E,1)/r! |
Ω |
0.95616117533508 |
Real period |
R |
2.2262342699243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47652g1 |
Quadratic twists by: -19 |