Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
60564c |
Isogeny class |
Conductor |
60564 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-4852761481008 = -1 · 24 · 35 · 76 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2287,96510] |
[a1,a2,a3,a4,a6] |
Generators |
[-474:6076:27] |
Generators of the group modulo torsion |
j |
702464000/2577987 |
j-invariant |
L |
4.948607539694 |
L(r)(E,1)/r! |
Ω |
0.54713859777504 |
Real period |
R |
4.5222614158352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1236c1 |
Quadratic twists by: -7 |