Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074b |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
28675431972 = 22 · 33 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1595,22473] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:221:1] [1:144:1] |
Generators of the group modulo torsion |
j |
18609625/1188 |
j-invariant |
L |
4.6391461165179 |
L(r)(E,1)/r! |
Ω |
1.1599384489131 |
Real period |
R |
1.9997380554392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222bh1 66a1 |
Quadratic twists by: -3 17 |