Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416p |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
94238558574870528 = 230 · 39 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123660,-7874064] |
[a1,a2,a3,a4,a6] |
j |
40530337875/18264064 |
j-invariant |
L |
1.5934759266956 |
L(r)(E,1)/r! |
Ω |
0.26557932087895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416dp3 1638c3 52416o1 |
Quadratic twists by: -4 8 -3 |