Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720u |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2265867878400 = 222 · 32 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4481,-91425] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:84:1] |
Generators of the group modulo torsion |
j |
37966934881/8643600 |
j-invariant |
L |
4.6634928913903 |
L(r)(E,1)/r! |
Ω |
0.59304424724246 |
Real period |
R |
1.9659127093276 |
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 |
6720bg2 210c2 20160cm2 33600l2 |
Quadratic twists by: -4 8 -3 5 |