Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920ba |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-67461120 = -1 · 213 · 33 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 0 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1683,26578] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-6:1] |
Generators of the group modulo torsion |
j |
-4767078987/610 |
j-invariant |
L |
5.0498837972271 |
L(r)(E,1)/r! |
Ω |
1.8828555946584 |
Real period |
R |
0.67050864276851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5490c1 43920bf1 |
Quadratic twists by: -4 -3 |