Atkin-Lehner |
5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112225i |
Isogeny class |
Conductor |
112225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1884960 |
Modular degree for the optimal curve |
Δ |
-2367465470829296875 = -1 · 58 · 677 |
Discriminant |
Eigenvalues |
0 2 5- -2 0 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1496333,-707895557] |
[a1,a2,a3,a4,a6] |
Generators |
[2003820738128567611179613980863445092:-775735678328133509689715025760284083365:13369561296612852942491977627712] |
Generators of the group modulo torsion |
j |
-10485760/67 |
j-invariant |
L |
8.1464839088057 |
L(r)(E,1)/r! |
Ω |
0.06822548664919 |
Real period |
R |
59.702644194348 |
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 |
112225e1 1675d1 |
Quadratic twists by: 5 -67 |