Atkin-Lehner |
2- 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450cn |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
2970 |
Product of Tamagawa factors cp |
deg |
76507200 |
Modular degree for the optimal curve |
Δ |
-4.25281942401E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-537234638,-4894520250108] |
[a1,a2,a3,a4,a6] |
Generators |
[29452:2183074:1] |
Generators of the group modulo torsion |
j |
-43899107933389704753621505/1088721772546571108352 |
j-invariant |
L |
11.617036261097 |
L(r)(E,1)/r! |
Ω |
0.015656411429779 |
Real period |
R |
2.2484807677644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054847 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120450e1 |
Quadratic twists by: 5 |