Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350dl |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-24769087200 = -1 · 25 · 39 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-725,-10483] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-632:1] |
Generators of the group modulo torsion |
j |
-2309449585/1359072 |
j-invariant |
L |
10.086991138483 |
L(r)(E,1)/r! |
Ω |
0.44797532976616 |
Real period |
R |
0.56292112915281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450bc1 64350ci1 |
Quadratic twists by: -3 5 |