Atkin-Lehner |
2- 5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79550o |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
213790625000000 = 26 · 511 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63088,-6084719] |
[a1,a2,a3,a4,a6] |
Generators |
[11685:181019:27] |
Generators of the group modulo torsion |
j |
1777233109829689/13682600000 |
j-invariant |
L |
15.760799681835 |
L(r)(E,1)/r! |
Ω |
0.30137999900636 |
Real period |
R |
4.3579533406015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15910b1 |
Quadratic twists by: 5 |