Atkin-Lehner |
11+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11077a |
Isogeny class |
Conductor |
11077 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-11154539 = -1 · 11 · 192 · 532 |
Discriminant |
Eigenvalues |
-2 -1 -1 -4 11+ -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-76,328] |
[a1,a2,a3,a4,a6] |
Generators |
[7:9:1] [11:26:1] |
Generators of the group modulo torsion |
j |
-49188818944/11154539 |
j-invariant |
L |
2.3930180021951 |
L(r)(E,1)/r! |
Ω |
2.1691979564713 |
Real period |
R |
0.27579525361615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99693j1 121847e1 |
Quadratic twists by: -3 -11 |