Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36036d |
Isogeny class |
Conductor |
36036 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-5043886848 = -1 · 28 · 39 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-432,-4860] |
[a1,a2,a3,a4,a6] |
Generators |
[36:162:1] |
Generators of the group modulo torsion |
j |
-1769472/1001 |
j-invariant |
L |
4.0373470028209 |
L(r)(E,1)/r! |
Ω |
0.51023870770607 |
Real period |
R |
1.3187771859999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36036b1 |
Quadratic twists by: -3 |