Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720o |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2926264320 = -1 · 214 · 36 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-145,2737] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:56:1] |
Generators of the group modulo torsion |
j |
-20720464/178605 |
j-invariant |
L |
3.7533113189875 |
L(r)(E,1)/r! |
Ω |
1.221966156265 |
Real period |
R |
0.76788364795222 |
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 |
6720cj2 420c2 20160bv2 33600cp2 |
Quadratic twists by: -4 8 -3 5 |