Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240u |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
15881250000 = 24 · 3 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1055,12072] |
[a1,a2,a3,a4,a6] |
j |
8124052043776/992578125 |
j-invariant |
L |
2.3949530491483 |
L(r)(E,1)/r! |
Ω |
1.1974765245741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480bf1 73920ce1 27720f1 46200bo1 |
Quadratic twists by: -4 8 -3 5 |