Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45080a |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12864 |
Modular degree for the optimal curve |
Δ |
-282741760 = -1 · 210 · 5 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 2 -4 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-804] |
[a1,a2,a3,a4,a6] |
Generators |
[966:5608:27] |
Generators of the group modulo torsion |
j |
-196/115 |
j-invariant |
L |
7.6261029951109 |
L(r)(E,1)/r! |
Ω |
0.78027266917056 |
Real period |
R |
4.8868192469266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160b1 45080m1 |
Quadratic twists by: -4 -7 |