Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150fg |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-443387131200000000 = -1 · 212 · 310 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,135445,-25690053] |
[a1,a2,a3,a4,a6] |
Generators |
[1019:-34710:1] |
Generators of the group modulo torsion |
j |
965001720695/1557024768 |
j-invariant |
L |
12.590892825786 |
L(r)(E,1)/r! |
Ω |
0.15667268108964 |
Real period |
R |
0.55808552606455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050s1 111150y1 |
Quadratic twists by: -3 5 |