Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136cr |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-11657281536 = -1 · 218 · 36 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 5 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164,16144] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-32:1] [-4:144:1] |
Generators of the group modulo torsion |
j |
-912673/61 |
j-invariant |
L |
7.5947015192447 |
L(r)(E,1)/r! |
Ω |
1.2519328089584 |
Real period |
R |
0.75829763635259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136bb1 8784t1 3904j1 |
Quadratic twists by: -4 8 -3 |