Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dh |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-5.8398888841502E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20286652,10716245831] |
[a1,a2,a3,a4,a6] |
Generators |
[3385:-345443:1] |
Generators of the group modulo torsion |
j |
10765621376623941911/6809085937500000 |
j-invariant |
L |
8.9973458420375 |
L(r)(E,1)/r! |
Ω |
0.057064354768191 |
Real period |
R |
1.9708769770987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170z4 6930bg4 |
Quadratic twists by: -3 -7 |