Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63308h |
Isogeny class |
Conductor |
63308 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
68097123584 = 28 · 77 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -2 1 7- -4 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1045,-3753] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:98:1] |
Generators of the group modulo torsion |
j |
4194304/2261 |
j-invariant |
L |
2.9235707458879 |
L(r)(E,1)/r! |
Ω |
0.89416798576079 |
Real period |
R |
0.27246658275231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9044g1 |
Quadratic twists by: -7 |