Atkin-Lehner |
2+ 3- 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130y |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
-2168087501970 = -1 · 2 · 38 · 5 · 135 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 2 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7839,278343] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-195:1] |
Generators of the group modulo torsion |
j |
-73081817638129/2974056930 |
j-invariant |
L |
5.1608704977132 |
L(r)(E,1)/r! |
Ω |
0.81678907730285 |
Real period |
R |
0.31592431005757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999680753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710be1 |
Quadratic twists by: -3 |