Atkin-Lehner |
3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
861a |
Isogeny class |
Conductor |
861 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
741321 = 32 · 72 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42,-114] |
[a1,a2,a3,a4,a6] |
j |
8205738913/741321 |
j-invariant |
L |
0.94298550013938 |
L(r)(E,1)/r! |
Ω |
1.8859710002788 |
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 |
13776o2 55104bk2 2583e2 21525v2 |
Quadratic twists by: -4 8 -3 5 |