Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400cf |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12744900000000 = 28 · 32 · 58 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59508,-5564988] |
[a1,a2,a3,a4,a6] |
j |
5826356867536/3186225 |
j-invariant |
L |
2.4454531639763 |
L(r)(E,1)/r! |
Ω |
0.30568164574109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bc2 |
Quadratic twists by: 5 |