Atkin-Lehner |
2- 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608ca |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3649536 |
Modular degree for the optimal curve |
Δ |
2.012025893535E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2619009,1482640929] |
[a1,a2,a3,a4,a6] |
j |
7578703708393682593/767526967443456 |
j-invariant |
L |
0.3466505476519 |
L(r)(E,1)/r! |
Ω |
0.17332500321607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608bu1 31152bg1 |
Quadratic twists by: -4 8 |