Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9918n |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
78848 |
Modular degree for the optimal curve |
Δ |
-32778765201309696 = -1 · 232 · 36 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -3 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59627,-10342853] |
[a1,a2,a3,a4,a6] |
Generators |
[1835:76906:1] |
Generators of the group modulo torsion |
j |
-32160162425274729/44964012621824 |
j-invariant |
L |
7.216546339392 |
L(r)(E,1)/r! |
Ω |
0.14535387875977 |
Real period |
R |
0.77575182385988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344bq1 1102b1 |
Quadratic twists by: -4 -3 |