Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405t |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10973184 |
Modular degree for the optimal curve |
Δ |
-2.6763831799029E+22 |
Discriminant |
Eigenvalues |
2 3- 5- -2 -2 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25851927,-51201272813] |
[a1,a2,a3,a4,a6] |
j |
-2342039552/32805 |
j-invariant |
L |
3.3449108443414 |
L(r)(E,1)/r! |
Ω |
0.033449107336352 |
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 |
33135d1 99405k1 |
Quadratic twists by: -3 -47 |