Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dn |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6303744000000 = 218 · 34 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-162433,25143263] |
[a1,a2,a3,a4,a6] |
Generators |
[173:1500:1] |
Generators of the group modulo torsion |
j |
115714886617/1539 |
j-invariant |
L |
9.6437479059576 |
L(r)(E,1)/r! |
Ω |
0.68640542602441 |
Real period |
R |
1.7562047772725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ez4 1425a3 3648g3 |
Quadratic twists by: -4 8 5 |