Atkin-Lehner |
2+ 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59774h |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1005312 |
Modular degree for the optimal curve |
Δ |
-10660489010407808 = -1 · 27 · 1110 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ -3 -2 1 11- 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-193078,-32982284] |
[a1,a2,a3,a4,a6] |
Generators |
[609:8357:1] |
Generators of the group modulo torsion |
j |
-30689972577/411008 |
j-invariant |
L |
1.5385043890069 |
L(r)(E,1)/r! |
Ω |
0.11378636032175 |
Real period |
R |
6.760495654677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59774o1 |
Quadratic twists by: -11 |