Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480ci |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
37847040 = 215 · 3 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-788480,269747712] |
[a1,a2,a3,a4,a6] |
Generators |
[522:354:1] |
Generators of the group modulo torsion |
j |
13235378341603461121/9240 |
j-invariant |
L |
4.8516375672265 |
L(r)(E,1)/r! |
Ω |
0.88986494839723 |
Real period |
R |
2.7260527431522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2310v3 73920gq4 55440dh4 92400gm4 |
Quadratic twists by: -4 8 -3 5 |