Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850bt |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2017886235750000000 = 27 · 34 · 59 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29256700,-60921806000] |
[a1,a2,a3,a4,a6] |
j |
12052620205076933/8781696 |
j-invariant |
L |
0.51931780704285 |
L(r)(E,1)/r! |
Ω |
0.064914727316562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850hm2 11550bf2 |
Quadratic twists by: 5 -7 |