Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720f |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
10789847040000 = 224 · 3 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22478881,-41013876575] |
[a1,a2,a3,a4,a6] |
j |
4791901410190533590281/41160000 |
j-invariant |
L |
0.83202643925174 |
L(r)(E,1)/r! |
Ω |
0.069335536604311 |
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 |
6720bw7 210b7 20160cg7 33600cd8 |
Quadratic twists by: -4 8 -3 5 |