Atkin-Lehner |
2+ 3- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504o |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
463104 |
Modular degree for the optimal curve |
Δ |
-15192225063936 = -1 · 210 · 33 · 312 · 833 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 -1 4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15392,753444] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-186:1] |
Generators of the group modulo torsion |
j |
-393855699788932/14836157289 |
j-invariant |
L |
9.1337122247598 |
L(r)(E,1)/r! |
Ω |
0.69523649315171 |
Real period |
R |
1.094796789317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61752k1 |
Quadratic twists by: -4 |