Atkin-Lehner |
2- 3- 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35178u |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1246145472 = -1 · 26 · 34 · 11 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,132,-1584] |
[a1,a2,a3,a4,a6] |
Generators |
[12:36:1] |
Generators of the group modulo torsion |
j |
254237645375/1246145472 |
j-invariant |
L |
12.244684191012 |
L(r)(E,1)/r! |
Ω |
0.77191864264067 |
Real period |
R |
1.3218884645153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105534l1 |
Quadratic twists by: -3 |