Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600bz |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1513728000000 = 214 · 34 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3008,-24012] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:192:1] |
Generators of the group modulo torsion |
j |
47045881/23652 |
j-invariant |
L |
8.6958046917673 |
L(r)(E,1)/r! |
Ω |
0.67946107988531 |
Real period |
R |
1.5997613666911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950q1 3504s1 |
Quadratic twists by: -4 5 |