Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920r |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3983377305600 = 212 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7721,-240279] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:80:1] |
Generators of the group modulo torsion |
j |
12429128234944/972504225 |
j-invariant |
L |
4.5830460792619 |
L(r)(E,1)/r! |
Ω |
0.51182862377566 |
Real period |
R |
2.2385647594186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979889 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920cc2 36960bu1 |
Quadratic twists by: -4 8 |