Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680h |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
453600000000 = 211 · 34 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24400,1458548] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:1260:1] |
Generators of the group modulo torsion |
j |
784478485879202/221484375 |
j-invariant |
L |
3.3091374215921 |
L(r)(E,1)/r! |
Ω |
0.91680824905271 |
Real period |
R |
1.8047053050685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
840g5 6720bh5 5040i5 8400j5 |
Quadratic twists by: -4 8 -3 5 |