Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4960a |
Isogeny class |
Conductor |
4960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3174400 = 212 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,864] |
[a1,a2,a3,a4,a6] |
Generators |
[10:12:1] |
Generators of the group modulo torsion |
j |
137388096/775 |
j-invariant |
L |
4.0000529756535 |
L(r)(E,1)/r! |
Ω |
2.5356937068774 |
Real period |
R |
0.78874924144121 |
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 |
4960f2 9920g1 44640bm2 24800o2 |
Quadratic twists by: -4 8 -3 5 |