Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640cs |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
6861289680 = 24 · 36 · 5 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-882,9261] |
[a1,a2,a3,a4,a6] |
Generators |
[30:99:1] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
5.1918055919648 |
L(r)(E,1)/r! |
Ω |
1.2957014327609 |
Real period |
R |
2.0034729686537 |
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 |
35280ck1 1960b1 88200ct1 360e1 |
Quadratic twists by: -4 -3 5 -7 |