Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240bj |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17285900163840000 = 211 · 32 · 54 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1684880,-842323872] |
[a1,a2,a3,a4,a6] |
Generators |
[-749:150:1] |
Generators of the group modulo torsion |
j |
258286045443018193442/8440380939375 |
j-invariant |
L |
5.5891973051695 |
L(r)(E,1)/r! |
Ω |
0.13251289465699 |
Real period |
R |
2.6361572772018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480m5 73920o6 27720k6 46200a6 |
Quadratic twists by: -4 8 -3 5 |