Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488gu |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
59603646988419072 = 220 · 3 · 76 · 115 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31563905,-68244436959] |
[a1,a2,a3,a4,a6] |
j |
112763292123580561/1932612 |
j-invariant |
L |
0.63694538185362 |
L(r)(E,1)/r! |
Ω |
0.063694491100367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488do3 25872cs3 2112bd3 |
Quadratic twists by: -4 8 -7 |