Atkin-Lehner |
2- 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6726f |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
5941157372928 = 210 · 35 · 193 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35353,2541095] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:2304:1] |
Generators of the group modulo torsion |
j |
4886560719915108625/5941157372928 |
j-invariant |
L |
5.03215988842 |
L(r)(E,1)/r! |
Ω |
0.75473769360214 |
Real period |
R |
0.44449525807243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53808r1 20178g1 127794v1 |
Quadratic twists by: -4 -3 -19 |