Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720o |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
4838400 = 210 · 33 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-245,1557] |
[a1,a2,a3,a4,a6] |
Generators |
[4:25:1] |
Generators of the group modulo torsion |
j |
1594753024/4725 |
j-invariant |
L |
3.7533113189875 |
L(r)(E,1)/r! |
Ω |
2.4439323125299 |
Real period |
R |
1.5357672959044 |
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 |
6720cj1 420c1 20160bv1 33600cp1 |
Quadratic twists by: -4 8 -3 5 |