Atkin-Lehner |
3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701x |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
784 |
Product of Tamagawa factors cp |
Δ |
-2.058871574452E+32 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1369284590,690080035214903] |
[a1,a2,a3,a4,a6] |
j |
7035946269682673774860001/5102075694130695948683961 |
j-invariant |
L |
2.7235235124402 |
L(r)(E,1)/r! |
Ω |
0.013895528454755 |
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 |
85701k2 |
Quadratic twists by: -7 |