Atkin-Lehner |
2+ 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890x |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-3181532853249450 = -1 · 2 · 37 · 52 · 710 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3150,2712150] |
[a1,a2,a3,a4,a6] |
Generators |
[-1050:1785:8] [-105:1155:1] |
Generators of the group modulo torsion |
j |
4740785330399/4364242597050 |
j-invariant |
L |
7.3071884066814 |
L(r)(E,1)/r! |
Ω |
0.35026581313265 |
Real period |
R |
0.26077296629838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21630bj1 |
Quadratic twists by: -3 |