Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8120b |
Isogeny class |
Conductor |
8120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
278516000000 = 28 · 56 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2196,29680] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:196:1] |
Generators of the group modulo torsion |
j |
4576974631504/1087953125 |
j-invariant |
L |
2.3791102361066 |
L(r)(E,1)/r! |
Ω |
0.91819703398579 |
Real period |
R |
1.2955336099155 |
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 |
16240c2 64960n2 73080bm2 40600s2 |
Quadratic twists by: -4 8 -3 5 |