Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608g |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
90145454294016 = 210 · 312 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-263739,-52130630] |
[a1,a2,a3,a4,a6] |
Generators |
[6594:136345:8] |
Generators of the group modulo torsion |
j |
2717811254229988/120758121 |
j-invariant |
L |
5.5639254016846 |
L(r)(E,1)/r! |
Ω |
0.2106721481925 |
Real period |
R |
6.6025877757655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000511 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29304f2 19536p2 |
Quadratic twists by: -4 -3 |