Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2090i |
Isogeny class |
Conductor |
2090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-222543200 = -1 · 25 · 52 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 11- 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47,709] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:31:1] |
Generators of the group modulo torsion |
j |
-11867954041/222543200 |
j-invariant |
L |
1.9852146606246 |
L(r)(E,1)/r! |
Ω |
1.4904630795833 |
Real period |
R |
0.16649310940829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16720bd1 66880e1 18810q1 10450z1 |
Quadratic twists by: -4 8 -3 5 |