Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600a |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
131876100000000 = 28 · 39 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19575,-897750] |
[a1,a2,a3,a4,a6] |
Generators |
[8535:788400:1] |
Generators of the group modulo torsion |
j |
10536048/1675 |
j-invariant |
L |
8.339562025216 |
L(r)(E,1)/r! |
Ω |
0.40795362980231 |
Real period |
R |
5.1106065631024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120600bh1 24120o1 |
Quadratic twists by: -3 5 |