Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680bs |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
392339189760000 = 215 · 3 · 54 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18305,29025] |
[a1,a2,a3,a4,a6] |
j |
20701732955912/11973241875 |
j-invariant |
L |
3.6183523163514 |
L(r)(E,1)/r! |
Ω |
0.45229406705949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680cu3 63840r3 |
Quadratic twists by: -4 8 |