Atkin-Lehner |
3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
867b |
Isogeny class |
Conductor |
867 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-32234193 = -1 · 38 · 173 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,62,224] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
5359375/6561 |
j-invariant |
L |
1.2964049615091 |
L(r)(E,1)/r! |
Ω |
1.3924588259686 |
Real period |
R |
0.93101852444891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13872bf2 55488be2 2601i2 21675q2 |
Quadratic twists by: -4 8 -3 5 |