Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60543s |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-75075075747 = -1 · 313 · 72 · 312 |
Discriminant |
Eigenvalues |
2 3- 2 7- 2 -7 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1209,-20871] |
[a1,a2,a3,a4,a6] |
j |
-278966272/107163 |
j-invariant |
L |
6.3559503643637 |
L(r)(E,1)/r! |
Ω |
0.39724689764887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20181o1 60543l1 |
Quadratic twists by: -3 -31 |