Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50336n |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
21579937268032 = 26 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 3 -2 -4 11- 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14641,644204] |
[a1,a2,a3,a4,a6] |
Generators |
[1263:6706:27] |
Generators of the group modulo torsion |
j |
209088/13 |
j-invariant |
L |
8.3510402894203 |
L(r)(E,1)/r! |
Ω |
0.6683020936354 |
Real period |
R |
6.2479531105138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50336bc1 100672bc1 50336u1 |
Quadratic twists by: -4 8 -11 |