Atkin-Lehner |
2- 3- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434bl |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-4356371317865112 = -1 · 23 · 36 · 75 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -3 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21128,3393699] |
[a1,a2,a3,a4,a6] |
Generators |
[99:1455:1] |
Generators of the group modulo torsion |
j |
-1430711531517241/5975817994328 |
j-invariant |
L |
13.586748707719 |
L(r)(E,1)/r! |
Ω |
0.38067691251006 |
Real period |
R |
0.59485039503278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826e1 |
Quadratic twists by: -3 |