Atkin-Lehner |
3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771c |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-250263107787 = -1 · 3 · 72 · 116 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 4 7+ 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1389,-12924] |
[a1,a2,a3,a4,a6] |
j |
167284151/141267 |
j-invariant |
L |
1.0885219799863 |
L(r)(E,1)/r! |
Ω |
0.5442609651412 |
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 |
651b2 |
Quadratic twists by: -11 |