Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2992a |
Isogeny class |
Conductor |
2992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
2106368 = 210 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 0 4 -2 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-683,-6870] |
[a1,a2,a3,a4,a6] |
Generators |
[35:110:1] |
Generators of the group modulo torsion |
j |
34410094596/2057 |
j-invariant |
L |
3.7760847943642 |
L(r)(E,1)/r! |
Ω |
0.93389045474093 |
Real period |
R |
2.0216957862642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1496c1 11968t1 26928u1 74800e1 |
Quadratic twists by: -4 8 -3 5 |