Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184cp |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4107304599552 = 215 · 36 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19104,1005300] |
[a1,a2,a3,a4,a6] |
Generators |
[42:528:1] [-150:720:1] |
Generators of the group modulo torsion |
j |
188260594363297/1002759912 |
j-invariant |
L |
12.61719168375 |
L(r)(E,1)/r! |
Ω |
0.7847901111119 |
Real period |
R |
0.66988142783948 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398y2 |
Quadratic twists by: -4 |