Atkin-Lehner |
2- 3+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272p |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-774541872 = -1 · 24 · 33 · 132 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-437,3912] |
[a1,a2,a3,a4,a6] |
Generators |
[388:7622:1] |
Generators of the group modulo torsion |
j |
-578151251968/48408867 |
j-invariant |
L |
5.7032618749631 |
L(r)(E,1)/r! |
Ω |
1.5622178601755 |
Real period |
R |
3.6507468133713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16068g1 |
Quadratic twists by: -4 |