Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400cb |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1324800000000 = 214 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -1 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2833,-16463] |
[a1,a2,a3,a4,a6] |
Generators |
[67:300:1] [-33:200:1] |
Generators of the group modulo torsion |
j |
393040/207 |
j-invariant |
L |
9.4327162251273 |
L(r)(E,1)/r! |
Ω |
0.69409455763499 |
Real period |
R |
1.132496540628 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400jq1 6900h1 110400ed1 |
Quadratic twists by: -4 8 5 |