Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960be |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1017625670668800 = -1 · 29 · 38 · 52 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11157,-1466242] |
[a1,a2,a3,a4,a6] |
Generators |
[1669:68310:1] |
Generators of the group modulo torsion |
j |
411498751672/2726406225 |
j-invariant |
L |
8.4925591914702 |
L(r)(E,1)/r! |
Ω |
0.2460072328045 |
Real period |
R |
4.3151979142247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84960k2 28320j2 |
Quadratic twists by: -4 -3 |