Atkin-Lehner |
11- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
121363h |
Isogeny class |
Conductor |
121363 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42840 |
Modular degree for the optimal curve |
Δ |
-1776875683 = -1 · 116 · 17 · 59 |
Discriminant |
Eigenvalues |
0 2 -2 -2 11- -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,81,-2036] |
[a1,a2,a3,a4,a6] |
Generators |
[11090:9673:1000] |
Generators of the group modulo torsion |
j |
32768/1003 |
j-invariant |
L |
5.4764113732889 |
L(r)(E,1)/r! |
Ω |
0.71807881395484 |
Real period |
R |
7.6264767582811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003a1 |
Quadratic twists by: -11 |