Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42944v |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
351797248 = 219 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -1 4 2 11- 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7504464001,250225734763553] |
[a1,a2,a3,a4,a6] |
Generators |
[582630809006811368103:-184207851938600:11649072279920769] |
Generators of the group modulo torsion |
j |
178296503348692983836197044001/1342 |
j-invariant |
L |
7.1354519018118 |
L(r)(E,1)/r! |
Ω |
0.15528696237098 |
Real period |
R |
22.975051455915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944a3 10736f3 |
Quadratic twists by: -4 8 |