Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3978c |
Isogeny class |
Conductor |
3978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5477706 = 2 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1251,17347] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-8:1] |
Generators of the group modulo torsion |
j |
297141543217/7514 |
j-invariant |
L |
3.097960489522 |
L(r)(E,1)/r! |
Ω |
2.2348705047573 |
Real period |
R |
1.3861923914283 |
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 |
31824be2 127296bs2 442d2 99450db2 |
Quadratic twists by: -4 8 -3 5 |