Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428h |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-45940718543616 = -1 · 28 · 37 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 0 5 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8112,430612] |
[a1,a2,a3,a4,a6] |
Generators |
[101:801:1] |
Generators of the group modulo torsion |
j |
-65536/51 |
j-invariant |
L |
8.2217840664977 |
L(r)(E,1)/r! |
Ω |
0.58616717007278 |
Real period |
R |
3.5065867152478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34476p1 612c1 |
Quadratic twists by: -3 13 |