Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920cg |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
298571144468889600 = 222 · 34 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-207681,-25286625] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:3300:1] |
Generators of the group modulo torsion |
j |
3778993806976081/1138958528400 |
j-invariant |
L |
7.0769172506087 |
L(r)(E,1)/r! |
Ω |
0.22886014926557 |
Real period |
R |
1.9326533234636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001731 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920eq3 2310n3 |
Quadratic twists by: -4 8 |