Atkin-Lehner |
2- 3+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370bc |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23666400269100 = 22 · 39 · 52 · 17 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7427,78679] |
[a1,a2,a3,a4,a6] |
Generators |
[83:128:1] |
Generators of the group modulo torsion |
j |
2301536516427/1202377700 |
j-invariant |
L |
10.368554355296 |
L(r)(E,1)/r! |
Ω |
0.59301534036007 |
Real period |
R |
4.3711155722345 |
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 |
44370b2 |
Quadratic twists by: -3 |