Atkin-Lehner |
2+ 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
43800f |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2628000000000 = -1 · 211 · 32 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8008,-283988] |
[a1,a2,a3,a4,a6] |
j |
-1775007362/82125 |
j-invariant |
L |
2.0132709234363 |
L(r)(E,1)/r! |
Ω |
0.25165886542672 |
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 |
87600t1 8760g1 |
Quadratic twists by: -4 5 |