Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36036c |
Isogeny class |
Conductor |
36036 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
339365714688 = 28 · 33 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38559,2914182] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:2002:1] |
Generators of the group modulo torsion |
j |
917270168174064/49098049 |
j-invariant |
L |
7.262467362984 |
L(r)(E,1)/r! |
Ω |
0.90787133747054 |
Real period |
R |
0.3333102327408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36036a2 |
Quadratic twists by: -3 |