Atkin-Lehner |
3+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205a |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7527936 |
Modular degree for the optimal curve |
Δ |
-1.3426435655586E+25 |
Discriminant |
Eigenvalues |
2 3+ 5+ -2 11+ 3 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37892913,-197839239757] |
[a1,a2,a3,a4,a6] |
j |
-222860923688063986452467712/497275394651349853515625 |
j-invariant |
L |
2.8468161610323 |
L(r)(E,1)/r! |
Ω |
0.028468161610327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29205d1 |
Quadratic twists by: -3 |