Atkin-Lehner |
2- 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4876c |
Isogeny class |
Conductor |
4876 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-546833648 = -1 · 24 · 233 · 532 |
Discriminant |
Eigenvalues |
2- -1 -2 -2 -4 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6,-1127] |
[a1,a2,a3,a4,a6] |
Generators |
[12:23:1] [16:53:1] |
Generators of the group modulo torsion |
j |
1257728/34177103 |
j-invariant |
L |
3.6448756929622 |
L(r)(E,1)/r! |
Ω |
0.75711167110081 |
Real period |
R |
0.26745472534987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19504g1 78016f1 43884b1 121900b1 |
Quadratic twists by: -4 8 -3 5 |