Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240d |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-304254720 = -1 · 28 · 32 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,100,-780] |
[a1,a2,a3,a4,a6] |
j |
427694384/1188495 |
j-invariant |
L |
1.7722920799136 |
L(r)(E,1)/r! |
Ω |
0.88614603995678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480bh1 73920ch1 27720bd1 46200cv1 |
Quadratic twists by: -4 8 -3 5 |