Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bk |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-34835540213760 = -1 · 227 · 3 · 5 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-266520,53049072] |
[a1,a2,a3,a4,a6] |
Generators |
[332:1024:1] |
Generators of the group modulo torsion |
j |
-511157582445795481/8504770560 |
j-invariant |
L |
5.4279432981301 |
L(r)(E,1)/r! |
Ω |
0.59899115310913 |
Real period |
R |
0.75515073274392 |
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 |
4290n2 102960de2 |
Quadratic twists by: -4 -3 |