Atkin-Lehner |
2+ 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
14070f |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
263812500000000 = 28 · 32 · 512 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5763398,-5326048744] |
[a1,a2,a3,a4,a6] |
Generators |
[6270:449677:1] |
Generators of the group modulo torsion |
j |
21171880702743068271700441/263812500000000 |
j-invariant |
L |
4.7964474967451 |
L(r)(E,1)/r! |
Ω |
0.097438347770081 |
Real period |
R |
4.1021216719033 |
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 |
112560bs4 42210t4 70350bu4 98490d4 |
Quadratic twists by: -4 -3 5 -7 |