Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920el |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
177038991360000 = 216 · 36 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50561,4345761] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:2464:1] |
Generators of the group modulo torsion |
j |
218121931923844/2701400625 |
j-invariant |
L |
3.5489631383784 |
L(r)(E,1)/r! |
Ω |
0.57249897210162 |
Real period |
R |
1.5497683449929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001021 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920cq2 18480x2 |
Quadratic twists by: -4 8 |