Atkin-Lehner |
3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29205d |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
22583808 |
Modular degree for the optimal curve |
Δ |
-9.7878715929225E+27 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 11- 3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-341036217,5341659473432] |
[a1,a2,a3,a4,a6] |
Generators |
[-19808:2079687:1] |
Generators of the group modulo torsion |
j |
-222860923688063986452467712/497275394651349853515625 |
j-invariant |
L |
2.7187246386581 |
L(r)(E,1)/r! |
Ω |
0.036237387973497 |
Real period |
R |
0.240466035458 |
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 |
29205a1 |
Quadratic twists by: -3 |