Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800q |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
491582925000000 = 26 · 312 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24758,-1062012] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:162:1] |
Generators of the group modulo torsion |
j |
1678370855104/491582925 |
j-invariant |
L |
8.3332391945489 |
L(r)(E,1)/r! |
Ω |
0.38915212432584 |
Real period |
R |
1.7844862082592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88800bg1 17760u1 |
Quadratic twists by: -4 5 |