Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bd |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
745472 |
Modular degree for the optimal curve |
Δ |
-135622246662144 = -1 · 217 · 313 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 11+ 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81889,-9064321] |
[a1,a2,a3,a4,a6] |
j |
-463335730397426/1034715627 |
j-invariant |
L |
7.3368214683536 |
L(r)(E,1)/r! |
Ω |
0.14109272313147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608ct1 15576b1 |
Quadratic twists by: -4 8 |