Atkin-Lehner |
2- 3- 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494bh |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
642048 |
Modular degree for the optimal curve |
Δ |
-538893893508894 = -1 · 2 · 317 · 74 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ -3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22208,1699665] |
[a1,a2,a3,a4,a6] |
Generators |
[10868:101697:64] |
Generators of the group modulo torsion |
j |
-1661522384040121/739223447886 |
j-invariant |
L |
7.9325425589335 |
L(r)(E,1)/r! |
Ω |
0.48632786536587 |
Real period |
R |
2.0388875271574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498i1 |
Quadratic twists by: -3 |