Atkin-Lehner |
2+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9152f |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-8710946816 = -1 · 215 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 11+ 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-577,7169] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:88:1] [-7:104:1] |
Generators of the group modulo torsion |
j |
-649461896/265837 |
j-invariant |
L |
4.3049822081818 |
L(r)(E,1)/r! |
Ω |
1.2228773754749 |
Real period |
R |
0.14668213041774 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9152m1 4576f1 82368cm1 100672t1 |
Quadratic twists by: -4 8 -3 -11 |