Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345bf |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
665025628864275 = 33 · 52 · 74 · 177 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17687095,-28632233938] |
[a1,a2,a3,a4,a6] |
Generators |
[6314:330638:1] |
Generators of the group modulo torsion |
j |
25351269426118370449/27551475 |
j-invariant |
L |
4.156994147595 |
L(r)(E,1)/r! |
Ω |
0.07361823948338 |
Real period |
R |
4.7055754307254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035g4 1785c3 |
Quadratic twists by: -3 17 |