Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
59640m |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51528960000 = 211 · 34 · 54 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21280,1201900] |
[a1,a2,a3,a4,a6] |
j |
520390115864642/25160625 |
j-invariant |
L |
2.1194418214058 |
L(r)(E,1)/r! |
Ω |
1.0597209109083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280p4 |
Quadratic twists by: -4 |