Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640w |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
36658600151040 = 211 · 33 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133280,-18770412] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:42:1] |
Generators of the group modulo torsion |
j |
127847420666360642/17899707105 |
j-invariant |
L |
7.3925389492801 |
L(r)(E,1)/r! |
Ω |
0.2498686012955 |
Real period |
R |
2.4654754909012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320s4 115920r4 |
Quadratic twists by: -4 -3 |