Atkin-Lehner |
2- 7+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16646b |
Isogeny class |
Conductor |
16646 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-31419390066950144 = -1 · 228 · 74 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 3 -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,58906,-6510364] |
[a1,a2,a3,a4,a6] |
Generators |
[2540:127306:1] |
Generators of the group modulo torsion |
j |
22604861502814790303/31419390066950144 |
j-invariant |
L |
9.8627447850212 |
L(r)(E,1)/r! |
Ω |
0.1970208408993 |
Real period |
R |
0.44695891507152 |
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 |
116522n1 |
Quadratic twists by: -7 |