Atkin-Lehner |
2- 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bo |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
3266560 |
Modular degree for the optimal curve |
Δ |
-5.4660828180215E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8225905,-6640500009] |
[a1,a2,a3,a4,a6] |
j |
84439820624551481612375/74980559917991067648 |
j-invariant |
L |
2.705446314108 |
L(r)(E,1)/r! |
Ω |
0.061487416230486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398a1 |
Quadratic twists by: -3 |