Atkin-Lehner |
2- 3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434bp |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-4310837164029247488 = -1 · 218 · 36 · 79 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,405715,-9323755] |
[a1,a2,a3,a4,a6] |
j |
10131188158902368375/5913356877955072 |
j-invariant |
L |
5.2217381483384 |
L(r)(E,1)/r! |
Ω |
0.14504828264957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7826f3 |
Quadratic twists by: -3 |