Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920k |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
64 |
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] |
Generators |
[-20:760:1] |
Generators of the group modulo torsion |
j |
429456209353936/895505625 |
j-invariant |
L |
5.0186279206861 |
L(r)(E,1)/r! |
Ω |
0.9944095959073 |
Real period |
R |
1.261710451443 |
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 |
15960i2 127680fo2 95760z2 |
Quadratic twists by: -4 8 -3 |