Atkin-Lehner |
2+ 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434g |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
701916506928 = 24 · 36 · 72 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32802,-2278108] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:70:1] |
Generators of the group modulo torsion |
j |
5354323462958625/962848432 |
j-invariant |
L |
4.1425744623276 |
L(r)(E,1)/r! |
Ω |
0.35475501156671 |
Real period |
R |
1.459660303128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7826h2 |
Quadratic twists by: -3 |