Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048g |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23720804352 = 214 · 32 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1233,15345] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:120:1] [-27:168:1] |
Generators of the group modulo torsion |
j |
12663250000/1447803 |
j-invariant |
L |
10.182716003857 |
L(r)(E,1)/r! |
Ω |
1.1605385030577 |
Real period |
R |
1.0967662831752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048bs2 5628d2 |
Quadratic twists by: -4 8 |