Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970do |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
1600 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
-3.0972092593976E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5802448,-26231290221] |
[a1,a2,a3,a4,a6] |
Generators |
[3677:209841:1] |
Generators of the group modulo torsion |
j |
251907898698209879/3611226931200000 |
j-invariant |
L |
11.69397201891 |
L(r)(E,1)/r! |
Ω |
0.047387988986247 |
Real period |
R |
0.61692700338197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990h1 10710ba1 |
Quadratic twists by: -3 -7 |