Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49980z |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
166320 |
Modular degree for the optimal curve |
Δ |
-7500123750000 = -1 · 24 · 3 · 57 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60286,-5719015] |
[a1,a2,a3,a4,a6] |
Generators |
[5966721814:245821315389:3442951] |
Generators of the group modulo torsion |
j |
-12872772702976/3984375 |
j-invariant |
L |
7.8189764977771 |
L(r)(E,1)/r! |
Ω |
0.15233748367862 |
Real period |
R |
17.108891628715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1020c1 |
Quadratic twists by: -7 |