Atkin-Lehner |
2+ 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89352h |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-2082709878192 = -1 · 24 · 39 · 17 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -2 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9390,357041] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:657:1] [20:421:1] |
Generators of the group modulo torsion |
j |
-7850060032000/178558803 |
j-invariant |
L |
10.45504102471 |
L(r)(E,1)/r! |
Ω |
0.82540873507341 |
Real period |
R |
1.0555417960912 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29784f1 |
Quadratic twists by: -3 |