Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300i |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-407453361004800 = -1 · 28 · 33 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-666508,-209218568] |
[a1,a2,a3,a4,a6] |
Generators |
[9618:939686:1] |
Generators of the group modulo torsion |
j |
-2888047810000/35937 |
j-invariant |
L |
4.1090754666168 |
L(r)(E,1)/r! |
Ω |
0.083544495123296 |
Real period |
R |
4.0986896269587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900bu1 36300cf1 3300a1 |
Quadratic twists by: -3 5 -11 |