Atkin-Lehner |
3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22995f |
Isogeny class |
Conductor |
22995 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5600 |
Modular degree for the optimal curve |
Δ |
-135969435 = -1 · 36 · 5 · 7 · 732 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 5 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,18,560] |
[a1,a2,a3,a4,a6] |
Generators |
[40:255:1] |
Generators of the group modulo torsion |
j |
884736/186515 |
j-invariant |
L |
4.7771992245402 |
L(r)(E,1)/r! |
Ω |
1.4250442967213 |
Real period |
R |
1.6761581501472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2555a1 114975z1 |
Quadratic twists by: -3 5 |