Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7392b |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-324538368 = -1 · 212 · 3 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,111,705] |
[a1,a2,a3,a4,a6] |
Generators |
[11:56:1] |
Generators of the group modulo torsion |
j |
36594368/79233 |
j-invariant |
L |
2.7677624253355 |
L(r)(E,1)/r! |
Ω |
1.1898046484483 |
Real period |
R |
2.3262326541967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7392h4 14784cf1 22176o2 51744bn2 |
Quadratic twists by: -4 8 -3 -7 |