Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600da |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-24713262080000 = -1 · 213 · 54 · 136 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,240512] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2366:1] |
Generators of the group modulo torsion |
j |
-25/2 |
j-invariant |
L |
4.7111716330392 |
L(r)(E,1)/r! |
Ω |
0.55385892078982 |
Real period |
R |
2.1265215094028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450x1 67600br3 400c1 |
Quadratic twists by: -4 5 13 |