Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36300b |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-74868750000 = -1 · 24 · 32 · 58 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,367,12762] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:75:1] [7:-125:1] |
Generators of the group modulo torsion |
j |
16384/225 |
j-invariant |
L |
7.1404646479813 |
L(r)(E,1)/r! |
Ω |
0.80738282671044 |
Real period |
R |
0.73699699941545 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108900be1 7260q1 36300a1 |
Quadratic twists by: -3 5 -11 |