Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240h |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-73790640 = -1 · 24 · 32 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,65,340] |
[a1,a2,a3,a4,a6] |
Generators |
[12:52:1] |
Generators of the group modulo torsion |
j |
1869154304/4611915 |
j-invariant |
L |
3.963139147989 |
L(r)(E,1)/r! |
Ω |
1.3549922831552 |
Real period |
R |
2.9248425967125 |
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 |
18480bg1 73920cf1 27720bc1 46200cz1 |
Quadratic twists by: -4 8 -3 5 |