Atkin-Lehner |
2- 3- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
63036d |
Isogeny class |
Conductor |
63036 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-138170192116464 = -1 · 24 · 310 · 175 · 103 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -1 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1059,-565387] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1863:1] |
Generators of the group modulo torsion |
j |
11260666112/11845866951 |
j-invariant |
L |
8.8146366862741 |
L(r)(E,1)/r! |
Ω |
0.27130834504335 |
Real period |
R |
2.7074473401495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21012d1 |
Quadratic twists by: -3 |