Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150cl |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
3220 |
Product of Tamagawa factors cp |
deg |
7418880 |
Modular degree for the optimal curve |
Δ |
-1.7889320381645E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -7 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1565938,-20363664508] |
[a1,a2,a3,a4,a6] |
Generators |
[28292:-4766146:1] |
Generators of the group modulo torsion |
j |
-27178619446435699801/11449165044252672000 |
j-invariant |
L |
11.145635906679 |
L(r)(E,1)/r! |
Ω |
0.045479245300415 |
Real period |
R |
0.076108950091108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230k1 |
Quadratic twists by: 5 |