Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208by |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
13846224 = 24 · 3 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5889,-171996] |
[a1,a2,a3,a4,a6] |
j |
4116309458944/2523 |
j-invariant |
L |
2.1799324204441 |
L(r)(E,1)/r! |
Ω |
0.54498310216899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17052q1 68208cs1 |
Quadratic twists by: -4 -7 |