Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350bf |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-6519673953968947200 = -1 · 215 · 311 · 52 · 112 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37377,-122870979] |
[a1,a2,a3,a4,a6] |
Generators |
[1803:74388:1] |
Generators of the group modulo torsion |
j |
-316866285359545/357732452892672 |
j-invariant |
L |
3.9330754612739 |
L(r)(E,1)/r! |
Ω |
0.10723802410658 |
Real period |
R |
0.91690319122132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450cr1 64350ew2 |
Quadratic twists by: -3 5 |