Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240w |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24588748800 = 211 · 34 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-512265600,-4462459476948] |
[a1,a2,a3,a4,a6] |
j |
7259042500647479362626220802/12006225 |
j-invariant |
L |
2.0309803912287 |
L(r)(E,1)/r! |
Ω |
0.031734068612949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480bc5 73920da6 27720l6 46200bf6 |
Quadratic twists by: -4 8 -3 5 |