Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18228c |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8402962176 = 28 · 32 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8052,-275400] |
[a1,a2,a3,a4,a6] |
Generators |
[1469400:3339595:13824] |
Generators of the group modulo torsion |
j |
1917170512/279 |
j-invariant |
L |
4.7734599501749 |
L(r)(E,1)/r! |
Ω |
0.50399115069648 |
Real period |
R |
9.4713169935192 |
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 |
72912cy2 54684m2 372b2 |
Quadratic twists by: -4 -3 -7 |