Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420o |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
794703662605843200 = 28 · 38 · 52 · 710 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231663,-1519562] |
[a1,a2,a3,a4,a6] |
Generators |
[551:6174:1] |
Generators of the group modulo torsion |
j |
7367603521037776/4258314378675 |
j-invariant |
L |
7.4014592709343 |
L(r)(E,1)/r! |
Ω |
0.23793702975858 |
Real period |
R |
0.51844664370165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140t2 |
Quadratic twists by: -3 |