Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848i |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
5937115968 = 26 · 36 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-489,1892] |
[a1,a2,a3,a4,a6] |
Generators |
[29:110:1] |
Generators of the group modulo torsion |
j |
277167808/127253 |
j-invariant |
L |
7.7987964399453 |
L(r)(E,1)/r! |
Ω |
1.2056761409619 |
Real period |
R |
3.2342003609304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106848bk1 11872d1 |
Quadratic twists by: -4 -3 |