Atkin-Lehner |
2+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89528f |
Isogeny class |
Conductor |
89528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
92592315680768 = 211 · 196 · 312 |
Discriminant |
Eigenvalues |
2+ 2 2 0 2 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11672,149708] |
[a1,a2,a3,a4,a6] |
Generators |
[114907752713919:48249635555550680:651714363] |
Generators of the group modulo torsion |
j |
1825346/961 |
j-invariant |
L |
11.97931767063 |
L(r)(E,1)/r! |
Ω |
0.52851675839415 |
Real period |
R |
22.665918300747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
248b2 |
Quadratic twists by: -19 |