Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28644p |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1875379968 = 28 · 32 · 7 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4548,116532] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:396:1] |
Generators of the group modulo torsion |
j |
40648132978000/7325703 |
j-invariant |
L |
6.8462649937566 |
L(r)(E,1)/r! |
Ω |
1.4368225335292 |
Real period |
R |
2.3824323582052 |
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 |
114576bb2 85932bl2 |
Quadratic twists by: -4 -3 |