Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9802h |
Isogeny class |
Conductor |
9802 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
78727803345152 = 28 · 139 · 29 |
Discriminant |
Eigenvalues |
2- 0 0 2 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13045,-379635] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:468:1] |
Generators of the group modulo torsion |
j |
23149125/7424 |
j-invariant |
L |
6.7246374982775 |
L(r)(E,1)/r! |
Ω |
0.4580694763523 |
Real period |
R |
3.6700969205737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78416w1 88218bh1 9802c1 |
Quadratic twists by: -4 -3 13 |