Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200eb |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
984960000000000 = 216 · 34 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48033,3744063] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:1875:1] |
Generators of the group modulo torsion |
j |
11968836484/961875 |
j-invariant |
L |
7.1089118657931 |
L(r)(E,1)/r! |
Ω |
0.48315847315877 |
Real period |
R |
1.8391770659226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200fl4 11400c3 18240i3 |
Quadratic twists by: -4 8 5 |