Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bn |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3907864756224000000 = 224 · 36 · 56 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-510400,-103040000] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:4158:1] |
Generators of the group modulo torsion |
j |
3590017885052913601/954068544000000 |
j-invariant |
L |
6.2975139542369 |
L(r)(E,1)/r! |
Ω |
0.18215456121516 |
Real period |
R |
2.8810304063694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290bb2 102960dj2 |
Quadratic twists by: -4 -3 |