Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600ct |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
219024000000000 = 213 · 34 · 59 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26208,-1478412] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:312:1] |
Generators of the group modulo torsion |
j |
248858189/27378 |
j-invariant |
L |
6.4070997537138 |
L(r)(E,1)/r! |
Ω |
0.37790267704134 |
Real period |
R |
1.0596477848272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1950t2 62400fk2 46800fe2 15600bo2 |
Quadratic twists by: -4 8 -3 5 |