Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136cc |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-33992632958976 = -1 · 220 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 1 3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2604,285136] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:576:1] |
Generators of the group modulo torsion |
j |
-10218313/177876 |
j-invariant |
L |
5.1588035543211 |
L(r)(E,1)/r! |
Ω |
0.55198582879923 |
Real period |
R |
1.1682373181444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136r1 8784y1 11712bh1 |
Quadratic twists by: -4 8 -3 |