Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050cm |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-9.2390706458789E+18 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -4 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-670638,256988142] |
[a1,a2,a3,a4,a6] |
Generators |
[5214:76125:8] |
Generators of the group modulo torsion |
j |
-3415766565315625/946080834138 |
j-invariant |
L |
12.006484046067 |
L(r)(E,1)/r! |
Ω |
0.219051696692 |
Real period |
R |
2.8847994445053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050n1 |
Quadratic twists by: 5 |