Atkin-Lehner |
2- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
102200o |
Isogeny class |
Conductor |
102200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
68352 |
Modular degree for the optimal curve |
Δ |
70109200 = 24 · 52 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 4 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6588,-208027] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2597:1] |
Generators of the group modulo torsion |
j |
79066117346560/175273 |
j-invariant |
L |
6.8374982056496 |
L(r)(E,1)/r! |
Ω |
0.52991440021103 |
Real period |
R |
3.2257559925848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102200l1 |
Quadratic twists by: 5 |