Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178bc |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-2026981128757248 = -1 · 213 · 32 · 177 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 3 2 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-200283,34550865] |
[a1,a2,a3,a4,a6] |
Generators |
[228:-981:1] |
Generators of the group modulo torsion |
j |
-36809725884625/83976192 |
j-invariant |
L |
15.66073436222 |
L(r)(E,1)/r! |
Ω |
0.46659471764823 |
Real period |
R |
0.32272972177076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834o1 |
Quadratic twists by: 17 |