Atkin-Lehner |
2- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
15664d |
Isogeny class |
Conductor |
15664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-30325504 = -1 · 28 · 113 · 89 |
Discriminant |
Eigenvalues |
2- -2 -1 0 11+ 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2981,61663] |
[a1,a2,a3,a4,a6] |
Generators |
[31:2:1] |
Generators of the group modulo torsion |
j |
-11447623942144/118459 |
j-invariant |
L |
2.992486273606 |
L(r)(E,1)/r! |
Ω |
1.890669353856 |
Real period |
R |
0.79138276280377 |
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 |
3916a1 62656t1 |
Quadratic twists by: -4 8 |