Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728cg |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2.3686947524344E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2586689,-1420635489] |
[a1,a2,a3,a4,a6] |
Generators |
[48744132671587647:-2207572061088777180:15978254214203] |
Generators of the group modulo torsion |
j |
29206303781127939652/3614341358084709 |
j-invariant |
L |
6.9628486815758 |
L(r)(E,1)/r! |
Ω |
0.12001221410953 |
Real period |
R |
19.339277903867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728cw3 6216g4 |
Quadratic twists by: -4 8 |