Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520bm |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-274255136686080 = -1 · 232 · 33 · 5 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15824,224084] |
[a1,a2,a3,a4,a6] |
j |
106975701068111/66956820480 |
j-invariant |
L |
4.0911921977608 |
L(r)(E,1)/r! |
Ω |
0.34093266190667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190k1 |
Quadratic twists by: -4 |