Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10650bf |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-212244249375000000 = -1 · 26 · 314 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-122688,-27667008] |
[a1,a2,a3,a4,a6] |
Generators |
[612:10944:1] |
Generators of the group modulo torsion |
j |
-13071040729863481/13583631960000 |
j-invariant |
L |
7.2723448548588 |
L(r)(E,1)/r! |
Ω |
0.12246768849166 |
Real period |
R |
0.70692551686651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200cd1 31950bc1 2130c1 |
Quadratic twists by: -4 -3 5 |