Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968q |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
29858346827776 = 219 · 195 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -1 -2 3 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9108481,-10583801249] |
[a1,a2,a3,a4,a6] |
Generators |
[-597786:71:343] |
Generators of the group modulo torsion |
j |
318802492415278298881/113900554 |
j-invariant |
L |
5.8005712626691 |
L(r)(E,1)/r! |
Ω |
0.086903658823705 |
Real period |
R |
6.6747146681548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968be2 874e2 |
Quadratic twists by: -4 8 |