Atkin-Lehner |
2+ 3- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
118296f |
Isogeny class |
Conductor |
118296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-23867859002112 = -1 · 28 · 310 · 313 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 2 6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2436,230452] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-558:1] |
Generators of the group modulo torsion |
j |
8566197248/127892763 |
j-invariant |
L |
9.5178487751513 |
L(r)(E,1)/r! |
Ω |
0.50039946888716 |
Real period |
R |
0.39626044310874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39432g1 |
Quadratic twists by: -3 |