Atkin-Lehner |
2- 47- |
Signs for the Atkin-Lehner involutions |
Class |
35344d |
Isogeny class |
Conductor |
35344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-9048064 = -1 · 212 · 472 |
Discriminant |
Eigenvalues |
2- -2 3 2 -6 3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,148] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
47 |
j-invariant |
L |
4.9171650294054 |
L(r)(E,1)/r! |
Ω |
1.7290351994575 |
Real period |
R |
1.4219389607997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2209a1 35344e1 |
Quadratic twists by: -4 -47 |