Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200g |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-286200000000 = -1 · 29 · 33 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 -6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2008,-42488] |
[a1,a2,a3,a4,a6] |
j |
-111980168/35775 |
j-invariant |
L |
0.70173162544919 |
L(r)(E,1)/r! |
Ω |
0.35086529339636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200ba1 25440bg1 |
Quadratic twists by: -4 5 |