Atkin-Lehner |
2- 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070cd |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
561120560000 = 27 · 54 · 73 · 112 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5300,143632] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-292:1] [-66:488:1] |
Generators of the group modulo torsion |
j |
48002330445607/1635920000 |
j-invariant |
L |
11.68791117718 |
L(r)(E,1)/r! |
Ω |
0.91567751328158 |
Real period |
R |
0.22793253800131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70070bi2 |
Quadratic twists by: -7 |