Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648x |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4596480 |
Modular degree for the optimal curve |
Δ |
-1.709390085772E+22 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6211968,-2016147924] |
[a1,a2,a3,a4,a6] |
Generators |
[3005414198410523862:125704132745682656349:8525420610545656] |
Generators of the group modulo torsion |
j |
2111277454/1361367 |
j-invariant |
L |
4.4024858652489 |
L(r)(E,1)/r! |
Ω |
0.070533863289122 |
Real period |
R |
31.208313708855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296bo1 60648l1 |
Quadratic twists by: -4 -19 |