Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2090b |
Isogeny class |
Conductor |
2090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
10115600 = 24 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11+ -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-533,-4963] |
[a1,a2,a3,a4,a6] |
Generators |
[31:82:1] |
Generators of the group modulo torsion |
j |
16794916941529/10115600 |
j-invariant |
L |
2.9766374175538 |
L(r)(E,1)/r! |
Ω |
0.99340744292326 |
Real period |
R |
2.9963912982115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720ba1 66880bx1 18810bg1 10450t1 |
Quadratic twists by: -4 8 -3 5 |