Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208ck |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-1.3118395696963E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1007848,-1785925324] |
[a1,a2,a3,a4,a6] |
j |
-684962743375/7936671744 |
j-invariant |
L |
0.52009809496059 |
L(r)(E,1)/r! |
Ω |
0.065012260027748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526b1 68208bf1 |
Quadratic twists by: -4 -7 |