Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dh |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9194189431504896 = 220 · 32 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84737,-8326305] |
[a1,a2,a3,a4,a6] |
Generators |
[1628379:1618560:4913] |
Generators of the group modulo torsion |
j |
2181825073/298116 |
j-invariant |
L |
10.667418928268 |
L(r)(E,1)/r! |
Ω |
0.28235579619179 |
Real period |
R |
9.4450149701869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037934 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304fi2 3822x2 17472o2 |
Quadratic twists by: -4 8 -7 |