Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11109c |
Isogeny class |
Conductor |
11109 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5681367035127 = 34 · 78 · 233 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8786,-296215] |
[a1,a2,a3,a4,a6] |
Generators |
[-522:395:8] |
Generators of the group modulo torsion |
j |
6163717745375/466948881 |
j-invariant |
L |
6.2220995608371 |
L(r)(E,1)/r! |
Ω |
0.49548884189077 |
Real period |
R |
3.1393742072444 |
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 |
33327i2 77763e2 11109g2 |
Quadratic twists by: -3 -7 -23 |