Atkin-Lehner |
7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
83993g |
Isogeny class |
Conductor |
83993 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30912 |
Modular degree for the optimal curve |
Δ |
-31186012949 = -1 · 7 · 137 · 71 |
Discriminant |
Eigenvalues |
1 0 -1 7- 0 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,560,6657] |
[a1,a2,a3,a4,a6] |
Generators |
[24:171:1] |
Generators of the group modulo torsion |
j |
4019679/6461 |
j-invariant |
L |
6.075488798444 |
L(r)(E,1)/r! |
Ω |
0.79972736544855 |
Real period |
R |
3.798474994247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6461a1 |
Quadratic twists by: 13 |