Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400if |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
2119680000000000 = 220 · 32 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40833,-2289537] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:192:1] |
Generators of the group modulo torsion |
j |
2941225/828 |
j-invariant |
L |
5.3593611208059 |
L(r)(E,1)/r! |
Ω |
0.34301471112758 |
Real period |
R |
3.9060723627618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bq1 27600bp1 110400hl1 |
Quadratic twists by: -4 8 5 |