Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630bn |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
-917924906250000000 = -1 · 27 · 38 · 512 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,130648,-42393621] |
[a1,a2,a3,a4,a6] |
Generators |
[1637:-68319:1] |
Generators of the group modulo torsion |
j |
338304362084841671/1259156250000000 |
j-invariant |
L |
9.6948501714393 |
L(r)(E,1)/r! |
Ω |
0.14213013133985 |
Real period |
R |
0.40601835059648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210b2 |
Quadratic twists by: -3 |