Atkin-Lehner |
2+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248d |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-152301568 = -1 · 212 · 192 · 103 |
Discriminant |
Eigenvalues |
2+ 2 0 0 -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,87,-535] |
[a1,a2,a3,a4,a6] |
Generators |
[2928:30457:27] |
Generators of the group modulo torsion |
j |
17576000/37183 |
j-invariant |
L |
10.364034443288 |
L(r)(E,1)/r! |
Ω |
0.94999951431603 |
Real period |
R |
5.4547577963082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999313773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125248u1 62624c1 |
Quadratic twists by: -4 8 |