Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400j |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
2543906250000000000 = 210 · 35 · 516 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344008,-11823488] |
[a1,a2,a3,a4,a6] |
j |
281391269564164/158994140625 |
j-invariant |
L |
0.84986935007533 |
L(r)(E,1)/r! |
Ω |
0.2124673385103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40200bf1 16080i1 |
Quadratic twists by: -4 5 |