Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216p |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1483875790848 = 212 · 37 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-197004,33655808] |
[a1,a2,a3,a4,a6] |
Generators |
[94:3996:1] |
Generators of the group modulo torsion |
j |
283179211757632/496947 |
j-invariant |
L |
7.9604726008686 |
L(r)(E,1)/r! |
Ω |
0.72712662708368 |
Real period |
R |
1.3684811410771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216h2 39072j2 |
Quadratic twists by: -4 -3 |