Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20064b |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
25160256 = 26 · 32 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142,-560] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1680:1] |
Generators of the group modulo torsion |
j |
4982686912/393129 |
j-invariant |
L |
5.7016383398055 |
L(r)(E,1)/r! |
Ω |
1.3891206675883 |
Real period |
R |
4.1044946438702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20064m1 40128cf2 60192x1 |
Quadratic twists by: -4 8 -3 |