Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400fx |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
84787200 = 214 · 32 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,177] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] [1:8:1] |
Generators of the group modulo torsion |
j |
393040/207 |
j-invariant |
L |
9.5441057170734 |
L(r)(E,1)/r! |
Ω |
1.6835097458111 |
Real period |
R |
0.70864645579746 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ed1 27600co1 110400jq1 |
Quadratic twists by: -4 8 5 |