Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510dt |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
933993057690000 = 24 · 38 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45212,3406799] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:2221:1] |
Generators of the group modulo torsion |
j |
119168121961/10890000 |
j-invariant |
L |
10.691323840305 |
L(r)(E,1)/r! |
Ω |
0.48367362610736 |
Real period |
R |
0.69076305172405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170u2 990j2 |
Quadratic twists by: -3 -7 |