Atkin-Lehner |
2+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
48416h |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1172054528 = 29 · 172 · 892 |
Discriminant |
Eigenvalues |
2+ -2 2 0 -4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3112,-67848] |
[a1,a2,a3,a4,a6] |
Generators |
[67:170:1] |
Generators of the group modulo torsion |
j |
6511965086024/2289169 |
j-invariant |
L |
4.0703765506748 |
L(r)(E,1)/r! |
Ω |
0.63920062480453 |
Real period |
R |
3.1839585199906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416f2 96832bc2 |
Quadratic twists by: -4 8 |