Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265u |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4055299875 = -1 · 32 · 53 · 112 · 313 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-931,11050] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:67:1] [-10:139:1] |
Generators of the group modulo torsion |
j |
-738335555584/33514875 |
j-invariant |
L |
8.8442272279913 |
L(r)(E,1)/r! |
Ω |
1.3763345240589 |
Real period |
R |
1.0709880814328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56265t2 |
Quadratic twists by: -11 |