Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360cx |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-74939824267591680 = -1 · 224 · 312 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,69375,-11112705] |
[a1,a2,a3,a4,a6] |
j |
140859621945791/285872742720 |
j-invariant |
L |
4.3097673470043 |
L(r)(E,1)/r! |
Ω |
0.17957363945998 |
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 |
39360p2 9840l2 118080ew2 |
Quadratic twists by: -4 8 -3 |