Atkin-Lehner |
2- 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442bg |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-263133681408 = -1 · 28 · 310 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 0 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1602,324] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-342:1] |
Generators of the group modulo torsion |
j |
2690342666375/1557004032 |
j-invariant |
L |
10.494246351499 |
L(r)(E,1)/r! |
Ω |
0.58672308653628 |
Real period |
R |
0.223577496961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442l1 |
Quadratic twists by: 13 |