Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200br |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-3151872000 = -1 · 214 · 34 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,-2703] |
[a1,a2,a3,a4,a6] |
j |
-78608/1539 |
j-invariant |
L |
2.4470418869219 |
L(r)(E,1)/r! |
Ω |
0.61176047607204 |
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 |
91200jh1 11400s1 91200eg1 |
Quadratic twists by: -4 8 5 |