Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40848j |
Isogeny class |
Conductor |
40848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6870495043584 = -1 · 213 · 34 · 234 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4728,-14220] |
[a1,a2,a3,a4,a6] |
Generators |
[6:120:1] |
Generators of the group modulo torsion |
j |
2853016666487/1677366954 |
j-invariant |
L |
6.5809452236066 |
L(r)(E,1)/r! |
Ω |
0.43929718002854 |
Real period |
R |
1.8725778137175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5106a4 122544bg3 |
Quadratic twists by: -4 -3 |