Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
65892b |
Isogeny class |
Conductor |
65892 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-485000615229696 = -1 · 28 · 35 · 177 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 0 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24372,-1799496] |
[a1,a2,a3,a4,a6] |
Generators |
[2369:115022:1] |
Generators of the group modulo torsion |
j |
-259108432/78489 |
j-invariant |
L |
3.2111109345085 |
L(r)(E,1)/r! |
Ω |
0.188121372328 |
Real period |
R |
4.2673393450036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3876e1 |
Quadratic twists by: 17 |