Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200bh |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1223040 |
Modular degree for the optimal curve |
Δ |
-796702334976000000 = -1 · 219 · 313 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2838408,1842051312] |
[a1,a2,a3,a4,a6] |
j |
-39515579724486529/12448473984 |
j-invariant |
L |
0.55426692103626 |
L(r)(E,1)/r! |
Ω |
0.27713347264838 |
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 |
9150h1 2928l1 |
Quadratic twists by: -4 5 |