Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60543n |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-2763431588439386739 = -1 · 315 · 7 · 317 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,196044,-72667697] |
[a1,a2,a3,a4,a6] |
j |
1287913472/4271211 |
j-invariant |
L |
2.0833460808582 |
L(r)(E,1)/r! |
Ω |
0.13020913005308 |
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 |
20181g1 1953g1 |
Quadratic twists by: -3 -31 |