Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352ca |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25751126016 = 216 · 36 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8364,294320] |
[a1,a2,a3,a4,a6] |
Generators |
[68:200:1] |
Generators of the group modulo torsion |
j |
1354435492/539 |
j-invariant |
L |
7.0152312487664 |
L(r)(E,1)/r! |
Ω |
1.1709139864614 |
Real period |
R |
2.9956219371673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352dy2 5544y2 4928p2 |
Quadratic twists by: -4 8 -3 |