Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925j |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-11284546875 = -1 · 3 · 56 · 72 · 173 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 1 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,492,-3082] |
[a1,a2,a3,a4,a6] |
Generators |
[11:59:1] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
1.949101043005 |
L(r)(E,1)/r! |
Ω |
0.70350493130943 |
Real period |
R |
0.46175962580607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26775bl1 357c1 62475by1 |
Quadratic twists by: -3 5 -7 |