Atkin-Lehner |
3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8385c |
Isogeny class |
Conductor |
8385 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
142374155625 = 36 · 54 · 132 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9678,362007] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:651:1] |
Generators of the group modulo torsion |
j |
100265305131532009/142374155625 |
j-invariant |
L |
2.9261965642657 |
L(r)(E,1)/r! |
Ω |
1.0315079723461 |
Real period |
R |
2.8368142978189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25155o2 41925i2 109005h2 |
Quadratic twists by: -3 5 13 |