Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545l |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
164229627420140625 = 32 · 56 · 73 · 237 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-760449,254433247] |
[a1,a2,a3,a4,a6] |
j |
328523283207001/1109390625 |
j-invariant |
L |
3.890052782801 |
L(r)(E,1)/r! |
Ω |
0.32417106532559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2415g1 |
Quadratic twists by: -23 |