Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050bi |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
6.8328921135521E+30 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14591125980,666637063695647] |
[a1,a2,a3,a4,a6] |
Generators |
[638943:501866485:1] |
Generators of the group modulo torsion |
j |
21987209151523511892752120960841/437305095267337355464806400 |
j-invariant |
L |
7.8632715458396 |
L(r)(E,1)/r! |
Ω |
0.023662587248745 |
Real period |
R |
6.9230872973458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010k2 |
Quadratic twists by: 5 |