Atkin-Lehner |
2- 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272v |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
528768 |
Modular degree for the optimal curve |
Δ |
-16126712306113968 = -1 · 24 · 39 · 136 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68869,9235682] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1854:1] |
Generators of the group modulo torsion |
j |
-2257778672923574272/1007919519132123 |
j-invariant |
L |
5.1153348012526 |
L(r)(E,1)/r! |
Ω |
0.36633451108763 |
Real period |
R |
1.5515069322232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16068a1 |
Quadratic twists by: -4 |