Atkin-Lehner |
2+ 5+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56050f |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
7006250000 = 24 · 58 · 19 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-750,6500] |
[a1,a2,a3,a4,a6] |
Generators |
[65:455:1] |
Generators of the group modulo torsion |
j |
2992209121/448400 |
j-invariant |
L |
6.7176369930418 |
L(r)(E,1)/r! |
Ω |
1.2730087955593 |
Real period |
R |
2.638488051472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210e1 |
Quadratic twists by: 5 |