Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800r |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-77312200000000 = -1 · 29 · 58 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 2 -1 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40208,3118588] |
[a1,a2,a3,a4,a6] |
Generators |
[83:600:1] |
Generators of the group modulo torsion |
j |
-35945285000/386561 |
j-invariant |
L |
4.6856690778573 |
L(r)(E,1)/r! |
Ω |
0.61390084891139 |
Real period |
R |
2.5442051339753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128800bh1 128800bb1 |
Quadratic twists by: -4 5 |