Atkin-Lehner |
2+ 3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434k |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
986318028579501072 = 24 · 37 · 73 · 13 · 436 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-956592,357167664] |
[a1,a2,a3,a4,a6] |
Generators |
[-6874:190057:8] |
Generators of the group modulo torsion |
j |
132793455714640890625/1352973976103568 |
j-invariant |
L |
4.7777068559315 |
L(r)(E,1)/r! |
Ω |
0.279252628613 |
Real period |
R |
4.277226394914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
23478t3 |
Quadratic twists by: -3 |