Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592ba |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
136863149730951168 = 212 · 320 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-433740,-108498976] |
[a1,a2,a3,a4,a6] |
Generators |
[-873743:2301255:2197] |
Generators of the group modulo torsion |
j |
3022210159912000/45835191927 |
j-invariant |
L |
7.2187223746047 |
L(r)(E,1)/r! |
Ω |
0.18620495310969 |
Real period |
R |
9.6919043404486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592m2 24864b2 |
Quadratic twists by: -4 -3 |