Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950gq |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
11335464000000000 = 212 · 35 · 59 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56638,-846469] |
[a1,a2,a3,a4,a6] |
j |
29993266043/16920576 |
j-invariant |
L |
4.0003112120999 |
L(r)(E,1)/r! |
Ω |
0.33335933102193 |
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 |
124950ef1 124950jf1 |
Quadratic twists by: 5 -7 |