Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300f |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
52272 |
Modular degree for the optimal curve |
Δ |
-257230657200 = -1 · 24 · 3 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -1 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8873,325602] |
[a1,a2,a3,a4,a6] |
Generators |
[81:363:1] |
Generators of the group modulo torsion |
j |
-901120/3 |
j-invariant |
L |
4.1529198254738 |
L(r)(E,1)/r! |
Ω |
0.98743243107971 |
Real period |
R |
0.46730846753657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900bl1 36300ca1 36300e1 |
Quadratic twists by: -3 5 -11 |