Atkin-Lehner |
7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5929b |
Isogeny class |
Conductor |
5929 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-112339662867971 = -1 · 78 · 117 |
Discriminant |
Eigenvalues |
0 -1 -3 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-529657,148545550] |
[a1,a2,a3,a4,a6] |
Generators |
[334:2964:1] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
1.6136338224478 |
L(r)(E,1)/r! |
Ω |
0.52954405189165 |
Real period |
R |
0.38090169663022 |
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 |
94864cj1 53361ba1 847a1 539a1 |
Quadratic twists by: -4 -3 -7 -11 |