Atkin-Lehner |
7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23177d |
Isogeny class |
Conductor |
23177 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-184250451847 = -1 · 77 · 112 · 432 |
Discriminant |
Eigenvalues |
1 -2 4 7- 11- 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1346,-7941] |
[a1,a2,a3,a4,a6] |
Generators |
[487:10536:1] |
Generators of the group modulo torsion |
j |
2294744759/1566103 |
j-invariant |
L |
5.9407388684081 |
L(r)(E,1)/r! |
Ω |
0.57293301282858 |
Real period |
R |
2.5922484546137 |
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 |
3311b2 |
Quadratic twists by: -7 |