Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760q |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-1.5968688406528E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,577855,584195743] |
[a1,a2,a3,a4,a6] |
j |
81402860249195471/609157120000000 |
j-invariant |
L |
1.8562952914834 |
L(r)(E,1)/r! |
Ω |
0.13259252082764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45760bv1 1430f1 |
Quadratic twists by: -4 8 |