Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240cf |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11182080 |
Modular degree for the optimal curve |
Δ |
-1.60392082446E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 0 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27609792,-24386703968] |
[a1,a2,a3,a4,a6] |
Generators |
[4891590050971131450663613:552236903597040136551772965:475227827089877481101] |
Generators of the group modulo torsion |
j |
194879272239195815936/134287459716796875 |
j-invariant |
L |
3.8349593243002 |
L(r)(E,1)/r! |
Ω |
0.047769498576741 |
Real period |
R |
40.140250981904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240es1 4140k1 22080bm1 |
Quadratic twists by: -4 8 -3 |