Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168h |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-47166040064 = -1 · 211 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ -1 -1 5 11- 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,-34736] |
[a1,a2,a3,a4,a6] |
Generators |
[642:16214:1] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
4.8713842440068 |
L(r)(E,1)/r! |
Ω |
0.35687218846526 |
Real period |
R |
3.4125552518931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12584c1 100672cq1 208b1 |
Quadratic twists by: -4 8 -11 |