Atkin-Lehner |
3- 5- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123165r |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
26148864 |
Modular degree for the optimal curve |
Δ |
-1.6026981881583E+25 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65337512,280055168786] |
[a1,a2,a3,a4,a6] |
Generators |
[4456:275934:1] |
Generators of the group modulo torsion |
j |
-42313987768860015917938489/21984885982966762734375 |
j-invariant |
L |
5.4079152505103 |
L(r)(E,1)/r! |
Ω |
0.064856354647039 |
Real period |
R |
1.9853087202322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41055j1 |
Quadratic twists by: -3 |