Atkin-Lehner |
11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64493b |
Isogeny class |
Conductor |
64493 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
701184 |
Modular degree for the optimal curve |
Δ |
-1126046429670266819 = -1 · 119 · 132 · 414 |
Discriminant |
Eigenvalues |
2 -1 -1 0 11+ 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-66106,51494233] |
[a1,a2,a3,a4,a6] |
Generators |
[22106:1158205:8] |
Generators of the group modulo torsion |
j |
-13549359104/477553609 |
j-invariant |
L |
8.0478851097903 |
L(r)(E,1)/r! |
Ω |
0.22909352898077 |
Real period |
R |
4.3911569353645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64493f1 |
Quadratic twists by: -11 |