Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12276b |
Isogeny class |
Conductor |
12276 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
56702156544 = 28 · 310 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1191,10910] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:110:1] [-17:162:1] |
Generators of the group modulo torsion |
j |
1001132368/303831 |
j-invariant |
L |
5.6152817394295 |
L(r)(E,1)/r! |
Ω |
1.0340989255534 |
Real period |
R |
0.90502007765289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104bp2 4092d2 |
Quadratic twists by: -4 -3 |