Atkin-Lehner |
3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59925c |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6188543701171875 = 33 · 514 · 17 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -6 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45900,-57375] |
[a1,a2,a3,a4,a6] |
j |
684473323370689/396066796875 |
j-invariant |
L |
0.71560204181827 |
L(r)(E,1)/r! |
Ω |
0.35780102051954 |
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 |
11985e2 |
Quadratic twists by: 5 |