Atkin-Lehner |
2+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
112b |
Isogeny class |
Conductor |
112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4917248 = 211 · 74 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,138] |
[a1,a2,a3,a4,a6] |
j |
11090466/2401 |
j-invariant |
L |
1.1481057287391 |
L(r)(E,1)/r! |
Ω |
2.2962114574781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56a3 448b4 1008h3 2800a4 |
Quadratic twists by: -4 8 -3 5 |