Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574dd |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-770329116808944 = -1 · 24 · 3 · 77 · 117 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20628,-693120] |
[a1,a2,a3,a4,a6] |
Generators |
[12362:100904:343] |
Generators of the group modulo torsion |
j |
4657463/3696 |
j-invariant |
L |
12.180755495294 |
L(r)(E,1)/r! |
Ω |
0.28049144468189 |
Real period |
R |
5.4283097248777 |
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 |
106722dn1 5082r1 3234n1 |
Quadratic twists by: -3 -7 -11 |