Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838br |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1272960 |
Modular degree for the optimal curve |
Δ |
-93915822258462852 = -1 · 22 · 311 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 3 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-701024,-226221465] |
[a1,a2,a3,a4,a6] |
Generators |
[85907496641578:2968817657021493:50080192856] |
Generators of the group modulo torsion |
j |
-7492088377/18468 |
j-invariant |
L |
14.28523278536 |
L(r)(E,1)/r! |
Ω |
0.082484482419799 |
Real period |
R |
21.648363980536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32946e1 98838bn1 |
Quadratic twists by: -3 17 |