Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608b |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3624528771072 = -1 · 211 · 33 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3405,-50414] |
[a1,a2,a3,a4,a6] |
Generators |
[47:462:1] |
Generators of the group modulo torsion |
j |
78955310250/65547757 |
j-invariant |
L |
6.4693966370192 |
L(r)(E,1)/r! |
Ω |
0.4363259405251 |
Real period |
R |
1.2355817895464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29304a2 58608a2 |
Quadratic twists by: -4 -3 |