Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bj |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
7823658500 = 22 · 53 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-516,-1522] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:57:1] |
Generators of the group modulo torsion |
j |
1030301/532 |
j-invariant |
L |
2.22510134444 |
L(r)(E,1)/r! |
Ω |
1.0596648841861 |
Real period |
R |
0.52495401556765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46550da1 6650p1 |
Quadratic twists by: 5 -7 |