Atkin-Lehner |
2+ 3+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778b |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
21591962525952 = 28 · 39 · 73 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2410224,-1439635456] |
[a1,a2,a3,a4,a6] |
Generators |
[1808:9600:1] |
Generators of the group modulo torsion |
j |
78669201304884025107/1096985344 |
j-invariant |
L |
1.579105385037 |
L(r)(E,1)/r! |
Ω |
0.12116723427395 |
Real period |
R |
6.5162227829729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778t1 |
Quadratic twists by: -3 |