Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950dy |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-506469294105468750 = -1 · 2 · 33 · 59 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1681951,840149048] |
[a1,a2,a3,a4,a6] |
Generators |
[502:10811:1] |
Generators of the group modulo torsion |
j |
-953790341/918 |
j-invariant |
L |
5.727705371135 |
L(r)(E,1)/r! |
Ω |
0.29230168486527 |
Real period |
R |
3.2658640179193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950gk1 124950bh1 |
Quadratic twists by: 5 -7 |