Atkin-Lehner |
2- 3- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
63036c |
Isogeny class |
Conductor |
63036 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-6310912176 = -1 · 24 · 37 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,-3895] |
[a1,a2,a3,a4,a6] |
Generators |
[28:117:1] |
Generators of the group modulo torsion |
j |
-35995648/541059 |
j-invariant |
L |
3.630807117763 |
L(r)(E,1)/r! |
Ω |
0.57398482905729 |
Real period |
R |
2.1085383757736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21012c1 |
Quadratic twists by: -3 |