Atkin-Lehner |
3- 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
105825c |
Isogeny class |
Conductor |
105825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-2624749365234375 = -1 · 33 · 511 · 172 · 832 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,32187,-1063008] |
[a1,a2,a3,a4,a6] |
j |
236017574465399/167983959375 |
j-invariant |
L |
1.5397802158023 |
L(r)(E,1)/r! |
Ω |
0.25663008301243 |
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 |
21165d1 |
Quadratic twists by: 5 |