Atkin-Lehner |
2- 3- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
59148d |
Isogeny class |
Conductor |
59148 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
997248 |
Modular degree for the optimal curve |
Δ |
-8436006659483626752 = -1 · 28 · 36 · 318 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 6 1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,224361,-133621218] |
[a1,a2,a3,a4,a6] |
Generators |
[117133730460306129747866:660780045640866721469948:310729074475903039601] |
Generators of the group modulo torsion |
j |
6692653173782448/45203224984373 |
j-invariant |
L |
7.2513817400816 |
L(r)(E,1)/r! |
Ω |
0.1159217592228 |
Real period |
R |
31.27705181796 |
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 |
6572d1 |
Quadratic twists by: -3 |