Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
51168l |
Isogeny class |
Conductor |
51168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
163635264 = 26 · 32 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-534,-4536] |
[a1,a2,a3,a4,a6] |
Generators |
[2036:91840:1] |
Generators of the group modulo torsion |
j |
263621326528/2556801 |
j-invariant |
L |
5.3869112642818 |
L(r)(E,1)/r! |
Ω |
0.99357528734528 |
Real period |
R |
5.4217444142518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999608 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51168p1 102336cr2 |
Quadratic twists by: -4 8 |