Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1680d |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
117600000000 = 211 · 3 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6480,202272] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:500:1] |
Generators of the group modulo torsion |
j |
14695548366242/57421875 |
j-invariant |
L |
2.620533935913 |
L(r)(E,1)/r! |
Ω |
1.0545856242118 |
Real period |
R |
0.62122360568674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
840j5 6720ca5 5040l5 8400w5 |
Quadratic twists by: -4 8 -3 5 |