Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760o |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-18869250949120 = -1 · 224 · 5 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11+ 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6655,-6655] |
[a1,a2,a3,a4,a6] |
j |
124326214271/71980480 |
j-invariant |
L |
0.81879289854469 |
L(r)(E,1)/r! |
Ω |
0.4093964493341 |
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 |
45760bw1 1430g1 |
Quadratic twists by: -4 8 |