Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598i |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-9.2956335967487E+18 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -2 13- 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-698048,268099364] |
[a1,a2,a3,a4,a6] |
Generators |
[2274:101044:1] |
Generators of the group modulo torsion |
j |
-63239829700321/15627554046 |
j-invariant |
L |
4.8345250711487 |
L(r)(E,1)/r! |
Ω |
0.2196875557634 |
Real period |
R |
0.21159968679863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262j1 |
Quadratic twists by: 29 |