Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168s |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.893462431551E+21 |
Discriminant |
Eigenvalues |
2- 1 1 3 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54072520,-153097872908] |
[a1,a2,a3,a4,a6] |
Generators |
[3144224738826151023750:133339760600572039608424:336608861572265625] |
Generators of the group modulo torsion |
j |
-2409558590804994721/674373039626 |
j-invariant |
L |
7.2296467505911 |
L(r)(E,1)/r! |
Ω |
0.02783672341243 |
Real period |
R |
32.464519276732 |
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 |
3146c2 100672dx2 2288e2 |
Quadratic twists by: -4 8 -11 |