Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11280h |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1903500000000000 = 211 · 34 · 512 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48880,-3607372] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:540:1] |
Generators of the group modulo torsion |
j |
6306613794505442/929443359375 |
j-invariant |
L |
5.4094179988198 |
L(r)(E,1)/r! |
Ω |
0.3242463097445 |
Real period |
R |
1.3902543211369 |
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 |
5640f3 45120bt3 33840k3 56400f3 |
Quadratic twists by: -4 8 -3 5 |