Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bo |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-38819894132736 = -1 · 225 · 37 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 5 3 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29409,1954431] |
[a1,a2,a3,a4,a6] |
Generators |
[51:768:1] |
Generators of the group modulo torsion |
j |
-20285403817/279936 |
j-invariant |
L |
9.2970295568262 |
L(r)(E,1)/r! |
Ω |
0.64938137729912 |
Real period |
R |
0.51131242991561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568cu1 3174b1 101568bf1 |
Quadratic twists by: -4 8 -23 |