Atkin-Lehner |
2+ 3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656a |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
7905890304 = 212 · 35 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -5 3 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2445,-45531] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:12:1] |
Generators of the group modulo torsion |
j |
394800749056/1930149 |
j-invariant |
L |
4.739463905722 |
L(r)(E,1)/r! |
Ω |
0.67911422523767 |
Real period |
R |
1.7447226583739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656k1 117312cw1 |
Quadratic twists by: -4 8 |