Atkin-Lehner |
5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
22525d |
Isogeny class |
Conductor |
22525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
4068578125 = 56 · 173 · 53 |
Discriminant |
Eigenvalues |
0 -1 5+ 4 6 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-433,1768] |
[a1,a2,a3,a4,a6] |
j |
575930368/260389 |
j-invariant |
L |
1.2464574552905 |
L(r)(E,1)/r! |
Ω |
1.2464574552905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901c1 |
Quadratic twists by: 5 |