Atkin-Lehner |
2- 3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49296s |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
878556466944 = 28 · 32 · 136 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4524,-106596] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1820:1] |
Generators of the group modulo torsion |
j |
40008063416272/3431861199 |
j-invariant |
L |
5.5404446095797 |
L(r)(E,1)/r! |
Ω |
0.5852999156062 |
Real period |
R |
3.155330832313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12324e2 |
Quadratic twists by: -4 |