Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136r |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
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] |
j |
-10218313/177876 |
j-invariant |
L |
1.1258145210644 |
L(r)(E,1)/r! |
Ω |
0.28145363026848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136cc1 1098l1 11712e1 |
Quadratic twists by: -4 8 -3 |