Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775x |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-6047909296875 = -1 · 311 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 5 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2883,131519] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:337:1] |
Generators of the group modulo torsion |
j |
-169663430656/387066195 |
j-invariant |
L |
6.3997250045537 |
L(r)(E,1)/r! |
Ω |
0.67032578353362 |
Real period |
R |
0.2169815023246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325y1 6555f1 |
Quadratic twists by: -3 5 |