Atkin-Lehner |
5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11275b |
Isogeny class |
Conductor |
11275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
48447265625 = 510 · 112 · 41 |
Discriminant |
Eigenvalues |
1 0 5+ -4 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2792,56491] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1043:1] |
Generators of the group modulo torsion |
j |
154076860881/3100625 |
j-invariant |
L |
4.3479396697806 |
L(r)(E,1)/r! |
Ω |
1.1301226216787 |
Real period |
R |
1.9236583651968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101475bg1 2255a1 124025d1 |
Quadratic twists by: -3 5 -11 |