Atkin-Lehner |
3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58305d |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
-3.0240221219834E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 -5 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,421652,242857633] |
[a1,a2,a3,a4,a6] |
j |
1717609695162479/6265054453125 |
j-invariant |
L |
1.7821915660485 |
L(r)(E,1)/r! |
Ω |
0.14851596409195 |
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 |
4485c1 |
Quadratic twists by: 13 |