Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300ce |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-12353343750000 = -1 · 24 · 33 · 59 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5042,99713] |
[a1,a2,a3,a4,a6] |
Generators |
[8:375:1] |
Generators of the group modulo torsion |
j |
30976/27 |
j-invariant |
L |
7.080882327462 |
L(r)(E,1)/r! |
Ω |
0.46314536328844 |
Real period |
R |
0.84937124001961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900dg1 36300w1 36300cd1 |
Quadratic twists by: -3 5 -11 |