Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11385f |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
94491686025 = 310 · 52 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2183,36902] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:253:1] |
Generators of the group modulo torsion |
j |
1577505447721/129618225 |
j-invariant |
L |
1.8856458135787 |
L(r)(E,1)/r! |
Ω |
1.0439529651738 |
Real period |
R |
0.90312776364633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3795k2 56925k2 125235w2 |
Quadratic twists by: -3 5 -11 |