Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591k |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-5.9070136607294E+19 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11- 6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-667580,-425053956] |
[a1,a2,a3,a4,a6] |
Generators |
[5943476250953374:136754924565250641:4535551944377] |
Generators of the group modulo torsion |
j |
-210554265625/378006237 |
j-invariant |
L |
4.0752201770315 |
L(r)(E,1)/r! |
Ω |
0.078781997026513 |
Real period |
R |
25.863905021727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43197e1 129591v1 |
Quadratic twists by: -3 -11 |