Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154a |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-8.4752843017451E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 11+ 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1784468,-1057578608] |
[a1,a2,a3,a4,a6] |
Generators |
[736:25228:1] |
Generators of the group modulo torsion |
j |
4558438520831/6147814464 |
j-invariant |
L |
2.8637632378664 |
L(r)(E,1)/r! |
Ω |
0.084346137011052 |
Real period |
R |
4.2440640131082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89232ci1 33462cw1 122694ce1 11154ba1 |
Quadratic twists by: -4 -3 -11 13 |