Atkin-Lehner |
2- 3- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
63036b |
Isogeny class |
Conductor |
63036 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-478097550576 = -1 · 24 · 310 · 173 · 103 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -3 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10137,-394243] |
[a1,a2,a3,a4,a6] |
Generators |
[13538:555903:8] |
Generators of the group modulo torsion |
j |
-9876533488384/40989159 |
j-invariant |
L |
6.3328889802253 |
L(r)(E,1)/r! |
Ω |
0.23783969374116 |
Real period |
R |
6.6566779502791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21012b1 |
Quadratic twists by: -3 |