Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11152g |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
9107224248208 = 24 · 173 · 415 |
Discriminant |
Eigenvalues |
2+ 1 2 -1 4 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8572,-271637] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:697:8] |
Generators of the group modulo torsion |
j |
4354124870864128/569201515513 |
j-invariant |
L |
6.0628467152582 |
L(r)(E,1)/r! |
Ω |
0.50044271180023 |
Real period |
R |
0.80766443688077 |
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 |
5576f1 44608bp1 100368o1 |
Quadratic twists by: -4 8 -3 |