Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23688q |
Isogeny class |
Conductor |
23688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
77915706624 = 28 · 39 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1431,15930] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:188:1] |
Generators of the group modulo torsion |
j |
64314864/15463 |
j-invariant |
L |
5.2419790393886 |
L(r)(E,1)/r! |
Ω |
1.0204369086441 |
Real period |
R |
1.2842486867596 |
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 |
47376d2 23688a2 |
Quadratic twists by: -4 -3 |