Atkin-Lehner |
2+ 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
20502g |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-61218643968 = -1 · 213 · 38 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 2 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6237,-188411] |
[a1,a2,a3,a4,a6] |
j |
-36809725884625/83976192 |
j-invariant |
L |
0.53714680083843 |
L(r)(E,1)/r! |
Ω |
0.26857340041922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834o1 |
Quadratic twists by: -3 |