Atkin-Lehner |
3- 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17271i |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2688000 |
Modular degree for the optimal curve |
Δ |
-1.396854927358E+24 |
Discriminant |
Eigenvalues |
0 3- 3 5 -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5776764,-56611845162] |
[a1,a2,a3,a4,a6] |
Generators |
[2641005402:93542220757:704969] |
Generators of the group modulo torsion |
j |
29244894594559580045312/1916124728886196428771 |
j-invariant |
L |
5.9649345876814 |
L(r)(E,1)/r! |
Ω |
0.040738228934532 |
Real period |
R |
7.3210529074143 |
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 |
5757g1 |
Quadratic twists by: -3 |