Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36036m |
Isogeny class |
Conductor |
36036 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-219112905896172288 = -1 · 28 · 311 · 7 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-994152,382192900] |
[a1,a2,a3,a4,a6] |
Generators |
[-664:27378:1] |
Generators of the group modulo torsion |
j |
-582256828038897664/1174087501587 |
j-invariant |
L |
4.4889755539542 |
L(r)(E,1)/r! |
Ω |
0.31556921129122 |
Real period |
R |
0.16934537101213 |
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 |
12012i1 |
Quadratic twists by: -3 |