Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360y |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
4551120 = 24 · 33 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-222,1269] |
[a1,a2,a3,a4,a6] |
Generators |
[10:7:1] |
Generators of the group modulo torsion |
j |
2800908288/10535 |
j-invariant |
L |
7.2928178552027 |
L(r)(E,1)/r! |
Ω |
2.4587858450827 |
Real period |
R |
1.4830120049447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360c1 |
Quadratic twists by: -3 |