Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248w |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-240052600832 = -1 · 222 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 1 2 -2 11+ -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1368,13748] |
[a1,a2,a3,a4,a6] |
Generators |
[7:154:1] |
Generators of the group modulo torsion |
j |
51895117/44032 |
j-invariant |
L |
6.7482888874772 |
L(r)(E,1)/r! |
Ω |
0.6413737929328 |
Real period |
R |
2.6304040474072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10406a1 83248s1 |
Quadratic twists by: -4 -11 |