Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486j |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-19099753344 = -1 · 27 · 310 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -4 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-495,-7763] |
[a1,a2,a3,a4,a6] |
Generators |
[29:26:1] |
Generators of the group modulo torsion |
j |
-51026761/72576 |
j-invariant |
L |
3.0428131676684 |
L(r)(E,1)/r! |
Ω |
0.48122749319198 |
Real period |
R |
1.5807560928636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162p1 45486bc1 |
Quadratic twists by: -3 -19 |