Atkin-Lehner |
2- 83- |
Signs for the Atkin-Lehner involutions |
Class |
110224m |
Isogeny class |
Conductor |
110224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1171296 |
Modular degree for the optimal curve |
Δ |
-576586811427594496 = -1 · 28 · 838 |
Discriminant |
Eigenvalues |
2- -2 -2 2 -4 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,190596,-17513624] |
[a1,a2,a3,a4,a6] |
Generators |
[13552278034:515088985285:10360232] |
Generators of the group modulo torsion |
j |
1328 |
j-invariant |
L |
2.944356578946 |
L(r)(E,1)/r! |
Ω |
0.16256055244828 |
Real period |
R |
18.112368439917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998614512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27556d1 110224l1 |
Quadratic twists by: -4 -83 |