Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41454o |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-451472860944 = -1 · 24 · 36 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -1 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7800,269072] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-120:1] |
Generators of the group modulo torsion |
j |
-611960049/5264 |
j-invariant |
L |
4.0691842791717 |
L(r)(E,1)/r! |
Ω |
0.94305599805497 |
Real period |
R |
0.53936143340978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606m1 5922k1 |
Quadratic twists by: -3 -7 |