Atkin-Lehner |
3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60543k |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-14138182989 = -1 · 37 · 7 · 314 |
Discriminant |
Eigenvalues |
1 3- -1 7- 3 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,-5751] |
[a1,a2,a3,a4,a6] |
Generators |
[9072:25101:343] |
Generators of the group modulo torsion |
j |
-961/21 |
j-invariant |
L |
6.9896609860843 |
L(r)(E,1)/r! |
Ω |
0.54107455193404 |
Real period |
R |
6.4590553752943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20181l1 60543o1 |
Quadratic twists by: -3 -31 |