Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720i |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3729272400000000 = -1 · 210 · 38 · 58 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13440,2871792] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-1750:1] |
Generators of the group modulo torsion |
j |
262173775127036/3641867578125 |
j-invariant |
L |
3.9383341490963 |
L(r)(E,1)/r! |
Ω |
0.32791080803068 |
Real period |
R |
0.75064889077023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360bb3 |
Quadratic twists by: -4 |