Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bj |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1589441616 = 24 · 39 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8364,294415] |
[a1,a2,a3,a4,a6] |
Generators |
[274:1755:8] |
Generators of the group modulo torsion |
j |
5547767775232/136269 |
j-invariant |
L |
8.5516348250218 |
L(r)(E,1)/r! |
Ω |
1.3921973476163 |
Real period |
R |
3.0712724903471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25956j1 34608t1 |
Quadratic twists by: -4 -3 |