Atkin-Lehner |
2- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
45560f |
Isogeny class |
Conductor |
45560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2106694400 = -1 · 28 · 52 · 173 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -5 -6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,319,181] |
[a1,a2,a3,a4,a6] |
Generators |
[3:34:1] [11:70:1] |
Generators of the group modulo torsion |
j |
13979565056/8229275 |
j-invariant |
L |
6.9008409195685 |
L(r)(E,1)/r! |
Ω |
0.89170990914717 |
Real period |
R |
0.6449071281273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91120d1 |
Quadratic twists by: -4 |