Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800y |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-397069726515200 = -1 · 233 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 1 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-778060,264162160] |
[a1,a2,a3,a4,a6] |
Generators |
[509:43:1] |
Generators of the group modulo torsion |
j |
-7948461006944145/60588032 |
j-invariant |
L |
4.1460812028103 |
L(r)(E,1)/r! |
Ω |
0.47821757178325 |
Real period |
R |
2.167465944032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800du1 2150e1 68800cq1 |
Quadratic twists by: -4 8 5 |