Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200k |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2484375000000 = -1 · 26 · 3 · 512 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-758,76512] |
[a1,a2,a3,a4,a6] |
j |
-48228544/2484375 |
j-invariant |
L |
1.349009866039 |
L(r)(E,1)/r! |
Ω |
0.67450459735178 |
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 |
127200be1 25440bi1 |
Quadratic twists by: -4 5 |