Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6150r |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-492000 = -1 · 25 · 3 · 53 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,19,8] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
6539203/3936 |
j-invariant |
L |
3.4072696038806 |
L(r)(E,1)/r! |
Ω |
1.8062362331539 |
Real period |
R |
0.94319600651879 |
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 |
49200cf1 18450cb1 6150z1 |
Quadratic twists by: -4 -3 5 |