Atkin-Lehner |
2+ 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15510d |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1.0190146338281E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-262884,488418946] |
[a1,a2,a3,a4,a6] |
Generators |
[-346:23367:1] |
Generators of the group modulo torsion |
j |
-2009156654849071391929/101901463382812500000 |
j-invariant |
L |
3.8396780366066 |
L(r)(E,1)/r! |
Ω |
0.1565538535181 |
Real period |
R |
2.4526244166597 |
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 |
124080bi3 46530bf3 77550bb3 |
Quadratic twists by: -4 -3 5 |