Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648j |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
1.1618941070383E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-599019,-70139880] |
[a1,a2,a3,a4,a6] |
j |
4604090368/2250423 |
j-invariant |
L |
1.0818795155748 |
L(r)(E,1)/r! |
Ω |
0.1803132525314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296z1 60648bm1 |
Quadratic twists by: -4 -19 |