Atkin-Lehner |
3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
94269f |
Isogeny class |
Conductor |
94269 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4154482117875663 = 38 · 7 · 676 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-175164,-28119483] |
[a1,a2,a3,a4,a6] |
Generators |
[-98732861598789088392:-22531772044966516959:386222794435988992] |
Generators of the group modulo torsion |
j |
6570725617/45927 |
j-invariant |
L |
6.9605346295837 |
L(r)(E,1)/r! |
Ω |
0.23346455968503 |
Real period |
R |
29.814095293292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21a3 |
Quadratic twists by: -67 |