Atkin-Lehner |
2- 3- 5+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27030t |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
147950732250000 = 24 · 36 · 56 · 172 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-238506,44809236] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2532:1] |
Generators of the group modulo torsion |
j |
1500450776422837361569/147950732250000 |
j-invariant |
L |
9.8157071950757 |
L(r)(E,1)/r! |
Ω |
0.55467392689711 |
Real period |
R |
1.4746963214324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81090m2 |
Quadratic twists by: -3 |