Atkin-Lehner |
3- 5+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
106605d |
Isogeny class |
Conductor |
106605 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1041408 |
Modular degree for the optimal curve |
Δ |
-44923382500211235 = -1 · 38 · 5 · 233 · 1034 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 0 4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-580998,170759889] |
[a1,a2,a3,a4,a6] |
Generators |
[10661:1098031:1] |
Generators of the group modulo torsion |
j |
-29752269276497084416/61623295610715 |
j-invariant |
L |
6.2516679418386 |
L(r)(E,1)/r! |
Ω |
0.3601851240955 |
Real period |
R |
1.4464015750809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999553551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35535c1 |
Quadratic twists by: -3 |