Atkin-Lehner |
3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59823g |
Isogeny class |
Conductor |
59823 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-20640445590573 = -1 · 37 · 177 · 23 |
Discriminant |
Eigenvalues |
1 3- -4 2 5 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52074,-4566051] |
[a1,a2,a3,a4,a6] |
j |
-887503681/1173 |
j-invariant |
L |
1.2640653003884 |
L(r)(E,1)/r! |
Ω |
0.15800816232371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19941l1 3519h1 |
Quadratic twists by: -3 17 |