Atkin-Lehner |
2+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45496b |
Isogeny class |
Conductor |
45496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-11020073149184 = -1 · 28 · 117 · 472 |
Discriminant |
Eigenvalues |
2+ 1 3 0 11- 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5969,-240781] |
[a1,a2,a3,a4,a6] |
Generators |
[95:242:1] |
Generators of the group modulo torsion |
j |
-51868672/24299 |
j-invariant |
L |
9.3498020935976 |
L(r)(E,1)/r! |
Ω |
0.26560222306063 |
Real period |
R |
1.1000710463101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90992d1 4136d1 |
Quadratic twists by: -4 -11 |