Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400cz |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-34732800 = -1 · 28 · 34 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53,303] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
-2621440/5427 |
j-invariant |
L |
9.4080854566519 |
L(r)(E,1)/r! |
Ω |
1.8378985814058 |
Real period |
R |
0.63986701612597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20100c1 80400cr1 |
Quadratic twists by: -4 5 |