Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90300br |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
40310862732000000 = 28 · 314 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-262708,50831588] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:9450:1] |
Generators of the group modulo torsion |
j |
501285645250000/10077715683 |
j-invariant |
L |
8.3955706836165 |
L(r)(E,1)/r! |
Ω |
0.36289719497265 |
Real period |
R |
0.55082966482586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3612b2 |
Quadratic twists by: 5 |