Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200eo |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2457703710720000 = -1 · 218 · 37 · 54 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -5 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29567,1373663] |
[a1,a2,a3,a4,a6] |
Generators |
[59:1824:1] [-7:1080:1] |
Generators of the group modulo torsion |
j |
17446602575/15000633 |
j-invariant |
L |
12.698195486442 |
L(r)(E,1)/r! |
Ω |
0.29753392573519 |
Real period |
R |
0.16935771107306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200gr1 1425e1 91200z1 |
Quadratic twists by: -4 8 5 |