Atkin-Lehner |
2+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80600p |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18688 |
Modular degree for the optimal curve |
Δ |
324818000 = 24 · 53 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230,1025] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] |
Generators of the group modulo torsion |
j |
672786432/162409 |
j-invariant |
L |
6.1124306408437 |
L(r)(E,1)/r! |
Ω |
1.6107518656823 |
Real period |
R |
0.94869215600165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80600bd1 |
Quadratic twists by: 5 |