Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600cz |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
160636203520000 = 212 · 54 · 137 |
Discriminant |
Eigenvalues |
2- -1 5- 2 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1374533,620728237] |
[a1,a2,a3,a4,a6] |
Generators |
[892716:389207:1331] |
Generators of the group modulo torsion |
j |
23242854400/13 |
j-invariant |
L |
6.135083588318 |
L(r)(E,1)/r! |
Ω |
0.47276839126701 |
Real period |
R |
6.4884663420477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4225i1 67600bq2 5200bf1 |
Quadratic twists by: -4 5 13 |