Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6633f |
Isogeny class |
Conductor |
6633 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
39266816949657 = 311 · 11 · 674 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-129146,-17828728] |
[a1,a2,a3,a4,a6] |
Generators |
[-13292:9759:64] |
Generators of the group modulo torsion |
j |
326765283429753433/53863946433 |
j-invariant |
L |
1.6844285910005 |
L(r)(E,1)/r! |
Ω |
0.25184531332082 |
Real period |
R |
6.6883459882166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128bk4 2211e3 72963j4 |
Quadratic twists by: -4 -3 -11 |