Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574bk |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
110047016686992 = 24 · 3 · 76 · 117 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11982,7984] |
[a1,a2,a3,a4,a6] |
j |
912673/528 |
j-invariant |
L |
1.0048519688263 |
L(r)(E,1)/r! |
Ω |
0.50242598440866 |
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 |
106722hb1 726c1 3234t1 |
Quadratic twists by: -3 -7 -11 |