Atkin-Lehner |
2+ 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570bj |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1568552939520 = -1 · 212 · 3 · 5 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2277,43558] |
[a1,a2,a3,a4,a6] |
j |
11104492391/13332480 |
j-invariant |
L |
2.2626308827672 |
L(r)(E,1)/r! |
Ω |
0.56565772068194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510b1 |
Quadratic twists by: -7 |