Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bb |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-791385520000204800 = -1 · 236 · 34 · 52 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149216,48258816] |
[a1,a2,a3,a4,a6] |
Generators |
[386:6930:1] |
Generators of the group modulo torsion |
j |
-89704216226900449/193209355468800 |
j-invariant |
L |
5.2479485419985 |
L(r)(E,1)/r! |
Ω |
0.25156672598562 |
Real period |
R |
2.6076325059612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999337109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510p1 |
Quadratic twists by: -4 |