Atkin-Lehner |
2+ 3- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
51792d |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-16310750976 = -1 · 28 · 310 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36,6156] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:72:1] |
Generators of the group modulo torsion |
j |
19600688/63713871 |
j-invariant |
L |
7.927529317481 |
L(r)(E,1)/r! |
Ω |
0.97219126672669 |
Real period |
R |
1.6308579574364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25896b1 |
Quadratic twists by: -4 |