Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34440bc |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-303825822720 = -1 · 210 · 3 · 5 · 7 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1680,1680] |
[a1,a2,a3,a4,a6] |
j |
511791497276/296704905 |
j-invariant |
L |
4.659092513952 |
L(r)(E,1)/r! |
Ω |
0.58238656424346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880k3 103320j3 |
Quadratic twists by: -4 -3 |