Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112be |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
816480 |
Modular degree for the optimal curve |
Δ |
-9462527635953392 = -1 · 24 · 710 · 115 · 13 |
Discriminant |
Eigenvalues |
2- 3 0 7- 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60025,7344659] |
[a1,a2,a3,a4,a6] |
Generators |
[266692021958245732542:7226978347295653754051:3851723154608811819] |
Generators of the group modulo torsion |
j |
-5292000000/2093663 |
j-invariant |
L |
13.093463576575 |
L(r)(E,1)/r! |
Ω |
0.38446858081318 |
Real period |
R |
34.056004131421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28028j1 112112x1 |
Quadratic twists by: -4 -7 |