Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104cr |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-16250830848 = -1 · 221 · 33 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1793,-30465] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1344:1] |
Generators of the group modulo torsion |
j |
-2433138625/61992 |
j-invariant |
L |
7.434174149281 |
L(r)(E,1)/r! |
Ω |
0.36626958474645 |
Real period |
R |
1.6914167548931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104k1 13776d1 |
Quadratic twists by: -4 8 |