Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168d |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
1610752 = 210 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -1 -4 -2 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-64] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [-2:2:1] |
Generators of the group modulo torsion |
j |
58564/13 |
j-invariant |
L |
4.9311987310575 |
L(r)(E,1)/r! |
Ω |
1.9244742297371 |
Real period |
R |
0.64059038240949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12584j1 100672ds1 25168j1 |
Quadratic twists by: -4 8 -11 |