Atkin-Lehner |
5+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
64325b |
Isogeny class |
Conductor |
64325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
628173828125 = 512 · 31 · 83 |
Discriminant |
Eigenvalues |
0 0 5+ 5 0 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18200,944281] |
[a1,a2,a3,a4,a6] |
j |
42669529104384/40203125 |
j-invariant |
L |
1.8153861973168 |
L(r)(E,1)/r! |
Ω |
0.90769310190115 |
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 |
12865a1 |
Quadratic twists by: 5 |