Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1680o |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
8400 = 24 · 3 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,0] |
[a1,a2,a3,a4,a6] |
j |
1048576/525 |
j-invariant |
L |
1.6548405863968 |
L(r)(E,1)/r! |
Ω |
3.3096811727936 |
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 |
420d1 6720bz1 5040bh1 8400cb1 |
Quadratic twists by: -4 8 -3 5 |