Atkin-Lehner |
2- 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550de |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-383559750000000000 = -1 · 210 · 32 · 512 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11213,-29801583] |
[a1,a2,a3,a4,a6] |
j |
-9978645018889/24547824000000 |
j-invariant |
L |
5.4513431978653 |
L(r)(E,1)/r! |
Ω |
0.13628358078493 |
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 |
14910c1 |
Quadratic twists by: 5 |