Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112j |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1689990982744064 = 211 · 79 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11+ 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30984,693076] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:686:1] |
Generators of the group modulo torsion |
j |
39805022/20449 |
j-invariant |
L |
3.2977474251637 |
L(r)(E,1)/r! |
Ω |
0.41675850207246 |
Real period |
R |
1.97821243996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56056j2 112112f2 |
Quadratic twists by: -4 -7 |