Atkin-Lehner |
3- 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
35145c |
Isogeny class |
Conductor |
35145 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-25529799536071875 = -1 · 321 · 55 · 11 · 71 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 11+ 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,66237,-4005531] |
[a1,a2,a3,a4,a6] |
j |
44085741154463744/35020301146875 |
j-invariant |
L |
3.3519235363704 |
L(r)(E,1)/r! |
Ω |
0.20949522102378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11715i1 |
Quadratic twists by: -3 |