Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950cg |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
69984 |
Modular degree for the optimal curve |
Δ |
485185950 = 2 · 39 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 0 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-778,7961] |
[a1,a2,a3,a4,a6] |
Generators |
[102:89:8] |
Generators of the group modulo torsion |
j |
2083326713545/19407438 |
j-invariant |
L |
6.5667454827013 |
L(r)(E,1)/r! |
Ω |
1.6665041270607 |
Real period |
R |
3.9404315753963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950bp1 |
Quadratic twists by: 5 |