Atkin-Lehner |
2- 3+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
65136i |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-239066836992 = -1 · 212 · 36 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1432,10416] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-216:1] [42:378:1] |
Generators of the group modulo torsion |
j |
79229972375/58365927 |
j-invariant |
L |
7.7108286657255 |
L(r)(E,1)/r! |
Ω |
0.63082216982592 |
Real period |
R |
3.0558646455984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4071a2 |
Quadratic twists by: -4 |