Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360v |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8924807577600 = -1 · 214 · 312 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3985,-171983] |
[a1,a2,a3,a4,a6] |
Generators |
[365382088:-3808904715:2515456] |
Generators of the group modulo torsion |
j |
-427265402704/544727025 |
j-invariant |
L |
6.7424020075818 |
L(r)(E,1)/r! |
Ω |
0.2867160512257 |
Real period |
R |
11.75797793454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360dj2 2460b2 118080bd2 |
Quadratic twists by: -4 8 -3 |