Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920dr |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
Δ |
1.0245422170709E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3548545,-2062301857] |
[a1,a2,a3,a4,a6] |
Generators |
[-1309:18480:1] |
Generators of the group modulo torsion |
j |
75404081626158563716/15633273575910375 |
j-invariant |
L |
9.1089302937271 |
L(r)(E,1)/r! |
Ω |
0.11160474841056 |
Real period |
R |
0.17003701348288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fg3 9240r3 |
Quadratic twists by: -4 8 |