Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111320m |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2395008 |
Modular degree for the optimal curve |
Δ |
-5.216209010254E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1614503,862677002] |
[a1,a2,a3,a4,a6] |
Generators |
[6557:521718:1] |
Generators of the group modulo torsion |
j |
-8481229876944/950546875 |
j-invariant |
L |
6.1804743324646 |
L(r)(E,1)/r! |
Ω |
0.19433516019131 |
Real period |
R |
7.9507927466904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111320a1 |
Quadratic twists by: -11 |