Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400h |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-44400000000 = -1 · 210 · 3 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,-8688] |
[a1,a2,a3,a4,a6] |
Generators |
[16:68:1] [37:250:1] |
Generators of the group modulo torsion |
j |
1431644/2775 |
j-invariant |
L |
7.7519048568878 |
L(r)(E,1)/r! |
Ω |
0.59450223537979 |
Real period |
R |
3.2598299869875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22200k1 8880e1 |
Quadratic twists by: -4 5 |