Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1122a |
Isogeny class |
Conductor |
1122 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8673562656 = 25 · 32 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2984,-63840] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:24:1] |
Generators of the group modulo torsion |
j |
2940001530995593/8673562656 |
j-invariant |
L |
1.7821245974371 |
L(r)(E,1)/r! |
Ω |
0.64603778584098 |
Real period |
R |
2.7585454542991 |
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 |
8976bd2 35904bk2 3366q2 28050dc2 |
Quadratic twists by: -4 8 -3 5 |