Atkin-Lehner |
3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771b |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2317686641215407 = 34 · 75 · 116 · 312 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10845414,13742777940] |
[a1,a2,a3,a4,a6] |
j |
79635371136974578297/1308273687 |
j-invariant |
L |
0.65758225930402 |
L(r)(E,1)/r! |
Ω |
0.32879115597753 |
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 |
651a2 |
Quadratic twists by: -11 |