Atkin-Lehner |
2- 5- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104650bj |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
4746240 |
Modular degree for the optimal curve |
Δ |
46215820666106000 = 24 · 53 · 76 · 135 · 232 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20462078,35624757172] |
[a1,a2,a3,a4,a6] |
Generators |
[2602:-456:1] |
Generators of the group modulo torsion |
j |
7579890083504768101975349/369726565328848 |
j-invariant |
L |
6.592820610531 |
L(r)(E,1)/r! |
Ω |
0.26824502447902 |
Real period |
R |
0.61444016240099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999930781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104650t1 |
Quadratic twists by: 5 |