Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3978h |
Isogeny class |
Conductor |
3978 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-96276160656 = -1 · 24 · 36 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,229,14811] |
[a1,a2,a3,a4,a6] |
Generators |
[17:144:1] |
Generators of the group modulo torsion |
j |
1829276567/132066064 |
j-invariant |
L |
4.8891041335485 |
L(r)(E,1)/r! |
Ω |
0.81489797124572 |
Real period |
R |
0.74995648321388 |
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 |
31824v2 127296z2 442c2 99450bi2 |
Quadratic twists by: -4 8 -3 5 |