Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720w |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29030400000000 = 217 · 34 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97601,-11765985] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:36:1] |
Generators of the group modulo torsion |
j |
784478485879202/221484375 |
j-invariant |
L |
4.5736757005992 |
L(r)(E,1)/r! |
Ω |
0.27011143818654 |
Real period |
R |
2.1165688739922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720bh5 840g5 20160cn5 33600m6 |
Quadratic twists by: -4 8 -3 5 |