Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366d |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
1.9499710875433E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-679377,-36112675] |
[a1,a2,a3,a4,a6] |
Generators |
[18982406:942769405:6859] |
Generators of the group modulo torsion |
j |
724997846257875/407669571584 |
j-invariant |
L |
5.6263613691204 |
L(r)(E,1)/r! |
Ω |
0.17892746761484 |
Real period |
R |
7.8612320548208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102366z1 9306h1 |
Quadratic twists by: -3 -11 |