Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11152h |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1216 |
Modular degree for the optimal curve |
Δ |
11152 = 24 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -2 -3 -4 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124,575] |
[a1,a2,a3,a4,a6] |
Generators |
[7:1:1] |
Generators of the group modulo torsion |
j |
13285149952/697 |
j-invariant |
L |
2.0965216261158 |
L(r)(E,1)/r! |
Ω |
3.8144171888127 |
Real period |
R |
0.54963091930915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5576d1 44608bm1 100368m1 |
Quadratic twists by: -4 8 -3 |