Atkin-Lehner |
2- 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bj |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-3358369932755942286 = -1 · 2 · 311 · 77 · 135 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,187141,-82527303] |
[a1,a2,a3,a4,a6] |
Generators |
[2422:9549:8] |
Generators of the group modulo torsion |
j |
994271971706244503/4606817466057534 |
j-invariant |
L |
6.0193534867833 |
L(r)(E,1)/r! |
Ω |
0.12661434603194 |
Real period |
R |
4.7540848848455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926f1 |
Quadratic twists by: -3 |