Atkin-Lehner |
3- 5- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79335k |
Isogeny class |
Conductor |
79335 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4337641125 = -1 · 39 · 53 · 41 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-257,3606] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:69:1] [-16:66:1] |
Generators of the group modulo torsion |
j |
-2565726409/5950125 |
j-invariant |
L |
6.638350085799 |
L(r)(E,1)/r! |
Ω |
1.2248932315171 |
Real period |
R |
0.45162780415707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26445c1 |
Quadratic twists by: -3 |