Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778d |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
151402392299592 = 23 · 312 · 73 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-687116,219168290] |
[a1,a2,a3,a4,a6] |
Generators |
[-474:21175:1] |
Generators of the group modulo torsion |
j |
345556776695240375/1458274104 |
j-invariant |
L |
6.3985319707362 |
L(r)(E,1)/r! |
Ω |
0.50891612189742 |
Real period |
R |
2.0954769331497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92778e2 |
Quadratic twists by: -47 |