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 |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
475735616 = 26 · 174 · 89 |
Discriminant |
Eigenvalues |
2+ -2 2 0 -4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-222,-800] |
[a1,a2,a3,a4,a6] |
Generators |
[33:170:1] |
Generators of the group modulo torsion |
j |
18991421632/7433369 |
j-invariant |
L |
4.0703765506748 |
L(r)(E,1)/r! |
Ω |
1.2784012496091 |
Real period |
R |
1.5919792599953 |
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 |
48416f1 96832bc1 |
Quadratic twists by: -4 8 |