Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320ca |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
152650967040000 = 214 · 36 · 54 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38376,2819124] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1872:1] |
Generators of the group modulo torsion |
j |
1525998818291689/37268302500 |
j-invariant |
L |
5.5960486623072 |
L(r)(E,1)/r! |
Ω |
0.57639464150537 |
Real period |
R |
0.80905920170884 |
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 |
4290a2 102960eh2 |
Quadratic twists by: -4 -3 |