Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64080s |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-10630103040 = -1 · 215 · 36 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -1 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1803,29882] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:178:1] |
Generators of the group modulo torsion |
j |
-217081801/3560 |
j-invariant |
L |
7.7243039982303 |
L(r)(E,1)/r! |
Ω |
1.2849519182051 |
Real period |
R |
3.0056782237013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8010i1 7120p1 |
Quadratic twists by: -4 -3 |