Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346z |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1322399230992 = 24 · 35 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15093,710289] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:1041:1] |
Generators of the group modulo torsion |
j |
3231945186625/11240208 |
j-invariant |
L |
9.0939533756801 |
L(r)(E,1)/r! |
Ω |
0.86165010696307 |
Real period |
R |
0.52770569528113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52038f1 2478d1 |
Quadratic twists by: -3 -7 |