Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cj |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-411771500000000 = -1 · 28 · 59 · 77 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6533,-995063] |
[a1,a2,a3,a4,a6] |
Generators |
[537:12250:1] |
Generators of the group modulo torsion |
j |
-65536/875 |
j-invariant |
L |
3.3711234311719 |
L(r)(E,1)/r! |
Ω |
0.22722843361085 |
Real period |
R |
0.46361982763364 |
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 |
4900f1 78400hi1 3920u1 2800t1 |
Quadratic twists by: -4 8 5 -7 |