Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450by |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
450560 |
Modular degree for the optimal curve |
Δ |
32577748992000000 = 222 · 34 · 56 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-241838,44924292] |
[a1,a2,a3,a4,a6] |
Generators |
[508:-7550:1] |
Generators of the group modulo torsion |
j |
100109991859083289/2084975935488 |
j-invariant |
L |
10.92242597526 |
L(r)(E,1)/r! |
Ω |
0.3692704738451 |
Real period |
R |
0.33611806462331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938d1 |
Quadratic twists by: 5 |