Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65892d |
Isogeny class |
Conductor |
65892 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-5987661916416 = -1 · 28 · 3 · 177 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-345740,-78363324] |
[a1,a2,a3,a4,a6] |
Generators |
[1983564:69396414:1331] |
Generators of the group modulo torsion |
j |
-739674007504/969 |
j-invariant |
L |
9.2640566737613 |
L(r)(E,1)/r! |
Ω |
0.098442359230634 |
Real period |
R |
7.8422005409416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3876a1 |
Quadratic twists by: 17 |