Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540bl |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-9826553298996720 = -1 · 24 · 34 · 5 · 11 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-295130,-61994295] |
[a1,a2,a3,a4,a6] |
Generators |
[13138:1504641:1] |
Generators of the group modulo torsion |
j |
-1288877824/4455 |
j-invariant |
L |
10.101211803344 |
L(r)(E,1)/r! |
Ω |
0.10239440462837 |
Real period |
R |
8.2208364030935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540x1 |
Quadratic twists by: 13 |