Atkin-Lehner |
3- 5- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205be |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
1232 |
Product of Tamagawa factors cp |
deg |
2165323776 |
Modular degree for the optimal curve |
Δ |
-1.0159461727793E+36 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 11- -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,74593720923,-47856425455125140] |
[a1,a2,a3,a4,a6] |
Generators |
[20945092:6895139593:64] |
Generators of the group modulo torsion |
j |
62965549529163867045674134789001216/1393616149217199127805316432421875 |
j-invariant |
L |
3.5161376184776 |
L(r)(E,1)/r! |
Ω |
0.0042549004733145 |
Real period |
R |
0.67075781028926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000289861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42735a1 |
Quadratic twists by: -3 |