Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300cg |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-4783214700000000 = -1 · 28 · 33 · 58 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40333,4546463] |
[a1,a2,a3,a4,a6] |
Generators |
[458:9075:1] |
Generators of the group modulo torsion |
j |
-40960/27 |
j-invariant |
L |
7.0373948517505 |
L(r)(E,1)/r! |
Ω |
0.40021704210072 |
Real period |
R |
0.97688588821871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900dj1 36300j1 300b1 |
Quadratic twists by: -3 5 -11 |