Atkin-Lehner |
5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44275i |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
-7000984375 = -1 · 56 · 7 · 112 · 232 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 11- 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,250,-3625] |
[a1,a2,a3,a4,a6] |
Generators |
[29082:-969649:27] |
Generators of the group modulo torsion |
j |
109902239/448063 |
j-invariant |
L |
10.747484540662 |
L(r)(E,1)/r! |
Ω |
0.67261286157668 |
Real period |
R |
7.9893540211707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1771b1 |
Quadratic twists by: 5 |