Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384bt |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
181778688 = 28 · 33 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159,418] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:34:1] |
Generators of the group modulo torsion |
j |
64314864/26299 |
j-invariant |
L |
9.0428018419266 |
L(r)(E,1)/r! |
Ω |
1.6316178575044 |
Real period |
R |
1.3855575578379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111384i1 |
Quadratic twists by: -3 |