Atkin-Lehner |
2+ 3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434l |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-2849199548832 = -1 · 25 · 36 · 75 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -1 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1482,84500] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:325:1] |
Generators of the group modulo torsion |
j |
-493975742625/3908367008 |
j-invariant |
L |
4.6174749301123 |
L(r)(E,1)/r! |
Ω |
0.69006122570542 |
Real period |
R |
0.66913989050826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826n1 |
Quadratic twists by: -3 |