Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15576g |
Isogeny class |
Conductor |
15576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-76090816530432 = -1 · 211 · 36 · 114 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64208,-6254964] |
[a1,a2,a3,a4,a6] |
Generators |
[7690:228987:8] |
Generators of the group modulo torsion |
j |
-14294466488281250/37153719009 |
j-invariant |
L |
2.9684877245719 |
L(r)(E,1)/r! |
Ω |
0.14993536894557 |
Real period |
R |
4.9496121986558 |
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 |
31152h2 124608be2 46728d2 |
Quadratic twists by: -4 8 -3 |