Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200w |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
29025000000 = 26 · 33 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38658,2912688] |
[a1,a2,a3,a4,a6] |
j |
6389297223616/29025 |
j-invariant |
L |
6.2457054432728 |
L(r)(E,1)/r! |
Ω |
1.0409509502447 |
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 |
103200ca1 20640q1 |
Quadratic twists by: -4 5 |