Atkin-Lehner |
3+ 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
108339d |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
163296 |
Modular degree for the optimal curve |
Δ |
-1706660041779 = -1 · 39 · 76 · 11 · 67 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 11+ -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1339,-65178] |
[a1,a2,a3,a4,a6] |
Generators |
[1083810:35642171:1000] |
Generators of the group modulo torsion |
j |
-2258403328/14506371 |
j-invariant |
L |
4.0866461389529 |
L(r)(E,1)/r! |
Ω |
0.35174021536791 |
Real period |
R |
11.618364806064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211f1 |
Quadratic twists by: -7 |