Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920cm |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2212595220971520 = 215 · 32 · 5 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32961,-439425] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1089:1] |
Generators of the group modulo torsion |
j |
120861530858888/67523047515 |
j-invariant |
L |
6.9094243344781 |
L(r)(E,1)/r! |
Ω |
0.38048068838482 |
Real period |
R |
1.1349827576082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920m3 36960k3 |
Quadratic twists by: -4 8 |