Atkin-Lehner |
13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
81133c |
Isogeny class |
Conductor |
81133 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-249650816820067 = -1 · 13 · 797 |
Discriminant |
Eigenvalues |
0 2 0 1 6 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1331413,-590869738] |
[a1,a2,a3,a4,a6] |
Generators |
[172564257735873262078073301694277236710:-970481366415801172645610930211870603004:128122660682349776136653957729533061] |
Generators of the group modulo torsion |
j |
-1073741824000/1027 |
j-invariant |
L |
8.643556332856 |
L(r)(E,1)/r! |
Ω |
0.070273455395591 |
Real period |
R |
61.499440181208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1027a1 |
Quadratic twists by: -79 |