Atkin-Lehner |
2- 3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950bj |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1870830000000 = -1 · 27 · 33 · 57 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 2 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1688,-71719] |
[a1,a2,a3,a4,a6] |
Generators |
[125:-1363:1] |
Generators of the group modulo torsion |
j |
-34043726521/119733120 |
j-invariant |
L |
10.77366434158 |
L(r)(E,1)/r! |
Ω |
0.34184361001341 |
Real period |
R |
0.5627920417613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15990k1 |
Quadratic twists by: 5 |