Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400cm |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-500152320000 = -1 · 214 · 36 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 6 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2008,-47888] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2160:1] |
Generators of the group modulo torsion |
j |
-349938025/195372 |
j-invariant |
L |
7.0194737730327 |
L(r)(E,1)/r! |
Ω |
0.34757706113964 |
Real period |
R |
0.84147691694842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050s1 80400dh1 |
Quadratic twists by: -4 5 |