Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66978f |
Isogeny class |
Conductor |
66978 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
742303286896816116 = 22 · 310 · 617 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43586631,110769644857] |
[a1,a2,a3,a4,a6] |
j |
243824355417817/19764 |
j-invariant |
L |
1.7383208909968 |
L(r)(E,1)/r! |
Ω |
0.21729011017138 |
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 |
22326h4 1098k4 |
Quadratic twists by: -3 61 |