Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11385p |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3804013125 = 37 · 54 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-400757,-97549144] |
[a1,a2,a3,a4,a6] |
Generators |
[1041:24229:1] |
Generators of the group modulo torsion |
j |
9764241639261414409/5218125 |
j-invariant |
L |
2.536320557558 |
L(r)(E,1)/r! |
Ω |
0.18974894072973 |
Real period |
R |
3.3416794684122 |
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 |
3795g4 56925u4 125235bq4 |
Quadratic twists by: -3 5 -11 |