Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32300r |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-728768750000 = -1 · 24 · 58 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- -2 4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,83588] |
[a1,a2,a3,a4,a6] |
j |
-655360000/116603 |
j-invariant |
L |
2.600898992925 |
L(r)(E,1)/r! |
Ω |
0.86696633097655 |
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 |
129200df1 32300a1 |
Quadratic twists by: -4 5 |