Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200ci |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
7469084390400000000 = 216 · 314 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1991008,-1073968012] |
[a1,a2,a3,a4,a6] |
Generators |
[-838:2592:1] |
Generators of the group modulo torsion |
j |
13638385797303961/116704443600 |
j-invariant |
L |
7.5314939861329 |
L(r)(E,1)/r! |
Ω |
0.12716145247375 |
Real period |
R |
1.0576394135727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150p2 14640y2 |
Quadratic twists by: -4 5 |