Atkin-Lehner |
2- 3+ 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520ba |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-28601718750000 = -1 · 24 · 32 · 510 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3655,-244068] |
[a1,a2,a3,a4,a6] |
Generators |
[344:-6450:1] |
Generators of the group modulo torsion |
j |
337401528664064/1787607421875 |
j-invariant |
L |
3.1566891335264 |
L(r)(E,1)/r! |
Ω |
0.33350600283218 |
Real period |
R |
0.94651644294994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999318737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28380h1 |
Quadratic twists by: -4 |