Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074i |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
5836644 = 22 · 33 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-117,460] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:26:1] [-10:30:1] |
Generators of the group modulo torsion |
j |
35611289/1188 |
j-invariant |
L |
5.4214887913804 |
L(r)(E,1)/r! |
Ω |
2.3829650867574 |
Real period |
R |
0.75836735523452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222bs1 19074c1 |
Quadratic twists by: -3 17 |