Atkin-Lehner |
2+ 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184v |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1004544 |
Modular degree for the optimal curve |
Δ |
495076893696 = 210 · 39 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1331912,591201540] |
[a1,a2,a3,a4,a6] |
Generators |
[670:180:1] |
Generators of the group modulo torsion |
j |
255182376002223122212/483473529 |
j-invariant |
L |
8.4836581967304 |
L(r)(E,1)/r! |
Ω |
0.60372045461246 |
Real period |
R |
0.78068308026662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592v1 |
Quadratic twists by: -4 |