Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560bp |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2854748160000 = 222 · 32 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6561,-185535] |
[a1,a2,a3,a4,a6] |
Generators |
[240:3465:1] |
Generators of the group modulo torsion |
j |
119168121961/10890000 |
j-invariant |
L |
4.1688225543097 |
L(r)(E,1)/r! |
Ω |
0.53356076587656 |
Real period |
R |
3.9066052274861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10560s2 2640w2 31680dn2 52800hg2 |
Quadratic twists by: -4 8 -3 5 |