Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504m |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1241309380656863232 = 211 · 32 · 119 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-281728,20866580] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:6084:1] |
Generators of the group modulo torsion |
j |
512095750/257049 |
j-invariant |
L |
7.8946644609632 |
L(r)(E,1)/r! |
Ω |
0.24137228715664 |
Real period |
R |
2.0442136689517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752n2 75504j2 |
Quadratic twists by: -4 -11 |