Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600bw |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
108375000000 = 26 · 3 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,-2838] |
[a1,a2,a3,a4,a6] |
Generators |
[-668:5909:64] |
Generators of the group modulo torsion |
j |
1560896/867 |
j-invariant |
L |
5.5577493643198 |
L(r)(E,1)/r! |
Ω |
0.86812835239104 |
Real period |
R |
6.4019903829709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600er1 40800bz2 81600eg1 |
Quadratic twists by: -4 8 5 |