Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265t |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-7184211101854875 = -1 · 32 · 53 · 118 · 313 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 11- -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-112691,-15158599] |
[a1,a2,a3,a4,a6] |
j |
-738335555584/33514875 |
j-invariant |
L |
3.118587537727 |
L(r)(E,1)/r! |
Ω |
0.12994114744839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56265u2 |
Quadratic twists by: -11 |