Atkin-Lehner |
2+ 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85904c |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
121856 |
Modular degree for the optimal curve |
Δ |
-9540554593024 = -1 · 28 · 77 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ 0 13- 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3964,113388] |
[a1,a2,a3,a4,a6] |
j |
26908202308608/37267791379 |
j-invariant |
L |
3.9330319447286 |
L(r)(E,1)/r! |
Ω |
0.49162899515354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42952j1 |
Quadratic twists by: -4 |