Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720f |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
28423046666649600 = 230 · 32 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1404961,-640460639] |
[a1,a2,a3,a4,a6] |
j |
1169975873419524361/108425318400 |
j-invariant |
L |
0.83202643925174 |
L(r)(E,1)/r! |
Ω |
0.13867107320862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720bw6 210b6 20160cg6 33600cd6 |
Quadratic twists by: -4 8 -3 5 |