Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12705g |
Isogeny class |
Conductor |
12705 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
285960106226025 = 32 · 52 · 72 · 1110 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32672,-2136141] |
[a1,a2,a3,a4,a6] |
j |
2177286259681/161417025 |
j-invariant |
L |
2.8541274081576 |
L(r)(E,1)/r! |
Ω |
0.3567659260197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38115s2 63525bj2 88935bq2 1155e2 |
Quadratic twists by: -3 5 -7 -11 |