Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240q |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-5903251200 = -1 · 28 · 32 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,364,2436] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:30:1] |
Generators of the group modulo torsion |
j |
20777545136/23059575 |
j-invariant |
L |
3.1806256363838 |
L(r)(E,1)/r! |
Ω |
0.89523215164798 |
Real period |
R |
0.88821252412817 |
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 |
18480w1 73920dc1 27720p1 46200bl1 |
Quadratic twists by: -4 8 -3 5 |