Atkin-Lehner |
2- 3+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442bb |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
238464 |
Modular degree for the optimal curve |
Δ |
14001006149208 = 23 · 36 · 133 · 1033 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 -3 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7888,197465] |
[a1,a2,a3,a4,a6] |
Generators |
[83:309:1] |
Generators of the group modulo torsion |
j |
24705736328125/6372783864 |
j-invariant |
L |
9.5237641123791 |
L(r)(E,1)/r! |
Ω |
0.65963140336473 |
Real period |
R |
1.2031674111309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442e1 |
Quadratic twists by: 13 |