Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080i |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
131838658560 = 211 · 37 · 5 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33909123,76001637598] |
[a1,a2,a3,a4,a6] |
Generators |
[33394:678357:8] |
Generators of the group modulo torsion |
j |
2888124458789016195842/88305 |
j-invariant |
L |
5.6013207741597 |
L(r)(E,1)/r! |
Ω |
0.3786387865734 |
Real period |
R |
7.3966547695957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360bb6 |
Quadratic twists by: -3 |