Atkin-Lehner |
2+ 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600i |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-213580800 = -1 · 210 · 34 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 0 -1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,1152] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:36:1] [6:-18:1] |
Generators of the group modulo torsion |
j |
-20606020/8343 |
j-invariant |
L |
9.18500902833 |
L(r)(E,1)/r! |
Ω |
1.666262002825 |
Real period |
R |
0.68904297584757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61800l1 123600o1 |
Quadratic twists by: -4 5 |