Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15960i |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
229249440000 = 28 · 34 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9980,-386400] |
[a1,a2,a3,a4,a6] |
j |
429456209353936/895505625 |
j-invariant |
L |
3.8217096378172 |
L(r)(E,1)/r! |
Ω |
0.47771370472715 |
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 |
31920k2 127680d2 47880be2 79800bh2 |
Quadratic twists by: -4 8 -3 5 |