Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400r |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
15441431250000 = 24 · 3 · 58 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214783,-38241188] |
[a1,a2,a3,a4,a6] |
j |
37256083456/525 |
j-invariant |
L |
0.88707383320941 |
L(r)(E,1)/r! |
Ω |
0.22176845830233 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800dj1 88200gu1 5880bf1 4200o1 |
Quadratic twists by: -4 -3 5 -7 |