Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304w |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-4.992195263192E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -3 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2180085,-3165592966] |
[a1,a2,a3,a4,a6] |
Generators |
[414238285:101829025098:6859] |
Generators of the group modulo torsion |
j |
383757181824152375/1671876092836413 |
j-invariant |
L |
6.681435399542 |
L(r)(E,1)/r! |
Ω |
0.069027658838022 |
Real period |
R |
12.099199639484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3519e1 18768q1 |
Quadratic twists by: -4 -3 |