Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gb |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-474360768000000 = -1 · 212 · 32 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19192,-231888] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-1176:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
3.8935405931433 |
L(r)(E,1)/r! |
Ω |
0.30500968339013 |
Real period |
R |
0.79783134873157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3675j1 2352v1 8400cd1 |
Quadratic twists by: -4 5 -7 |