Atkin-Lehner |
2- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bs |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-6014511002500000 = -1 · 25 · 57 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4213,3732417] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:-1891:1] |
Generators of the group modulo torsion |
j |
-529278808969/384928704160 |
j-invariant |
L |
6.3516329959376 |
L(r)(E,1)/r! |
Ω |
0.34382588979491 |
Real period |
R |
0.15394499523544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010b2 |
Quadratic twists by: 5 |