Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890cv |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-164852719521525000 = -1 · 23 · 38 · 55 · 72 · 295 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -5 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-848304,-301150872] |
[a1,a2,a3,a4,a6] |
Generators |
[1707:-57621:1] |
Generators of the group modulo torsion |
j |
-1889970111815574481/4615008525000 |
j-invariant |
L |
5.7995956992579 |
L(r)(E,1)/r! |
Ω |
0.078644458362007 |
Real period |
R |
0.73744494046728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998409766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630cu1 127890bc1 |
Quadratic twists by: -3 -7 |