Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1680d |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
13829760000 = 210 · 32 · 54 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-600,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:60:1] |
Generators of the group modulo torsion |
j |
23366901604/13505625 |
j-invariant |
L |
2.620533935913 |
L(r)(E,1)/r! |
Ω |
1.0545856242118 |
Real period |
R |
1.2424472113735 |
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 |
840j3 6720ca4 5040l3 8400w4 |
Quadratic twists by: -4 8 -3 5 |