Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300i |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8.020316485278E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-303508,-435556328] |
[a1,a2,a3,a4,a6] |
Generators |
[115415815197:-11292769533914:12008989] |
Generators of the group modulo torsion |
j |
-272709010000/7073843073 |
j-invariant |
L |
4.1090754666168 |
L(r)(E,1)/r! |
Ω |
0.083544495123296 |
Real period |
R |
12.296068880878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900bu2 36300cf2 3300a2 |
Quadratic twists by: -3 5 -11 |