Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4464v |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-253314541296 = -1 · 24 · 312 · 313 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2258229,-1306171141] |
[a1,a2,a3,a4,a6] |
Generators |
[2123667615729310:419624806949910981:54310764403] |
Generators of the group modulo torsion |
j |
-109189315135671400192/21717639 |
j-invariant |
L |
3.1991056307883 |
L(r)(E,1)/r! |
Ω |
0.061578281401497 |
Real period |
R |
25.975924936341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1116f2 17856bv2 1488j2 111600do2 |
Quadratic twists by: -4 8 -3 5 |