Atkin-Lehner |
2+ 3+ 7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766m |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1947632371776 = 26 · 36 · 72 · 132 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17244,861840] |
[a1,a2,a3,a4,a6] |
j |
567122798021604553/1947632371776 |
j-invariant |
L |
1.6685072007916 |
L(r)(E,1)/r! |
Ω |
0.83425360036765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116298bs2 |
Quadratic twists by: -3 |