Atkin-Lehner |
5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2915d |
Isogeny class |
Conductor |
2915 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
11736591625 = 53 · 116 · 53 |
Discriminant |
Eigenvalues |
-1 0 5- -4 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-582,1556] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:89:1] |
Generators of the group modulo torsion |
j |
21766715750961/11736591625 |
j-invariant |
L |
1.9294190999092 |
L(r)(E,1)/r! |
Ω |
1.1108082123363 |
Real period |
R |
0.38598904402952 |
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 |
46640q1 26235c1 14575e1 32065c1 |
Quadratic twists by: -4 -3 5 -11 |