Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32300v |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-54856908622430000 = -1 · 24 · 54 · 17 · 199 |
Discriminant |
Eigenvalues |
2- 1 5- 2 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22733,11338088] |
[a1,a2,a3,a4,a6] |
Generators |
[9768:192052:27] |
Generators of the group modulo torsion |
j |
-129931087052800/5485690862243 |
j-invariant |
L |
6.7818140840796 |
L(r)(E,1)/r! |
Ω |
0.29390146353747 |
Real period |
R |
2.5639031842895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200dc2 32300f2 |
Quadratic twists by: -4 5 |