Atkin-Lehner |
3- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
35145g |
Isogeny class |
Conductor |
35145 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-202118895 = -1 · 36 · 5 · 11 · 712 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203,-1254] |
[a1,a2,a3,a4,a6] |
Generators |
[462:-16:27] |
Generators of the group modulo torsion |
j |
-1263214441/277255 |
j-invariant |
L |
3.3964746173263 |
L(r)(E,1)/r! |
Ω |
0.62532333745482 |
Real period |
R |
5.4315494303327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3905b1 |
Quadratic twists by: -3 |