Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850el |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
392366768062500 = 22 · 32 · 56 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20238,557031] |
[a1,a2,a3,a4,a6] |
j |
498677257/213444 |
j-invariant |
L |
3.8543300497911 |
L(r)(E,1)/r! |
Ω |
0.48179125670028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3234n2 11550cg2 |
Quadratic twists by: 5 -7 |