Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ew |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3855515811840000 = 218 · 34 · 54 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56001,4153185] |
[a1,a2,a3,a4,a6] |
Generators |
[-265:560:1] [-69:2772:1] |
Generators of the group modulo torsion |
j |
74093292126001/14707625625 |
j-invariant |
L |
9.0961691721105 |
L(r)(E,1)/r! |
Ω |
0.4183451304927 |
Real period |
R |
2.7179021904332 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999177 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920ca4 18480df3 |
Quadratic twists by: -4 8 |