Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68450w |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-506530000 = -1 · 24 · 54 · 373 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -6 2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,58,-1084] |
[a1,a2,a3,a4,a6] |
Generators |
[28:134:1] |
Generators of the group modulo torsion |
j |
675/16 |
j-invariant |
L |
3.3543009689838 |
L(r)(E,1)/r! |
Ω |
0.8008106936221 |
Real period |
R |
1.0471578974766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450bf1 68450br1 |
Quadratic twists by: 5 37 |