Atkin-Lehner |
3- 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35217b |
Isogeny class |
Conductor |
35217 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.991328115656E+22 |
Discriminant |
Eigenvalues |
-1 3- 4 7+ 6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20849873,-37262474076] |
[a1,a2,a3,a4,a6] |
j |
-1375011739752522964553161/27315886360164601563 |
j-invariant |
L |
2.5404750440887 |
L(r)(E,1)/r! |
Ω |
0.035284375612224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11739b2 |
Quadratic twists by: -3 |