Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2280c |
Isogeny class |
Conductor |
2280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-112597344000 = -1 · 28 · 33 · 53 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,644,-14656] |
[a1,a2,a3,a4,a6] |
Generators |
[35:228:1] |
Generators of the group modulo torsion |
j |
115203799856/439833375 |
j-invariant |
L |
3.3991556278019 |
L(r)(E,1)/r! |
Ω |
0.53484999804358 |
Real period |
R |
1.0592239694106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4560a1 18240m1 6840u1 11400y1 |
Quadratic twists by: -4 8 -3 5 |