Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bf |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
1737933643431972 = 22 · 32 · 76 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35697,-1662975] |
[a1,a2,a3,a4,a6] |
Generators |
[-1250:3515:8] [-84:909:1] |
Generators of the group modulo torsion |
j |
1771561/612 |
j-invariant |
L |
5.7316862968946 |
L(r)(E,1)/r! |
Ω |
0.35711962051321 |
Real period |
R |
2.0062207338546 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734g1 4998x1 |
Quadratic twists by: -7 17 |