Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304o |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
610081483088 = 24 · 73 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 11+ 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2431,27588] |
[a1,a2,a3,a4,a6] |
Generators |
[-951:7055:27] |
Generators of the group modulo torsion |
j |
289629718528/111166451 |
j-invariant |
L |
13.294840465312 |
L(r)(E,1)/r! |
Ω |
0.83409700547854 |
Real period |
R |
3.9848004429768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73304i1 |
Quadratic twists by: -7 |