Atkin-Lehner |
2- 5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79550p |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
2036480000000000 = 217 · 510 · 37 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 3 2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31888,-312719] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:197:1] |
Generators of the group modulo torsion |
j |
367203121225/208535552 |
j-invariant |
L |
15.27906219331 |
L(r)(E,1)/r! |
Ω |
0.38582668701808 |
Real period |
R |
2.3294613737421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79550e1 |
Quadratic twists by: 5 |