Atkin-Lehner |
2- 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4836a |
Isogeny class |
Conductor |
4836 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-960429658032 = -1 · 24 · 37 · 134 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1017,-48438] |
[a1,a2,a3,a4,a6] |
j |
-7277690011648/60026853627 |
j-invariant |
L |
1.1153328858686 |
L(r)(E,1)/r! |
Ω |
0.37177762862285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19344q1 77376x1 14508f1 120900x1 |
Quadratic twists by: -4 8 -3 5 |