Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
99540v |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
4644138240 = 28 · 38 · 5 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,3764] |
[a1,a2,a3,a4,a6] |
Generators |
[50:189:8] |
Generators of the group modulo torsion |
j |
99672064/24885 |
j-invariant |
L |
8.5122903091414 |
L(r)(E,1)/r! |
Ω |
1.2882379141482 |
Real period |
R |
3.3038502472897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33180e1 |
Quadratic twists by: -3 |