Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350ba |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
229765925571875000 = 23 · 58 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44266400,-113378335000] |
[a1,a2,a3,a4,a6] |
Generators |
[7022706:1233860783:216] |
Generators of the group modulo torsion |
j |
346553430870203929/8300600 |
j-invariant |
L |
6.4550542388424 |
L(r)(E,1)/r! |
Ω |
0.058530334082056 |
Real period |
R |
9.1904684127711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470u2 3850o2 |
Quadratic twists by: 5 -11 |