Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400cd |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-55404000000 = -1 · 28 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,11500] |
[a1,a2,a3,a4,a6] |
Generators |
[41:261:1] |
Generators of the group modulo torsion |
j |
-1024/19 |
j-invariant |
L |
5.5039624420682 |
L(r)(E,1)/r! |
Ω |
0.9413019817258 |
Real period |
R |
2.9235901703713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200w1 7600e1 2736i1 |
Quadratic twists by: -4 -3 5 |