Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8736s |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
208585813782528 = 212 · 316 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15057,-146367] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:364:1] |
Generators of the group modulo torsion |
j |
92173898928448/50924270943 |
j-invariant |
L |
4.3084566346815 |
L(r)(E,1)/r! |
Ω |
0.46141899255818 |
Real period |
R |
2.3343515894278 |
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 |
8736v3 17472dd1 26208q3 61152cc3 |
Quadratic twists by: -4 8 -3 -7 |