Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34692n |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-48977749296 = -1 · 24 · 32 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 6 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29505317,-61697530896] |
[a1,a2,a3,a4,a6] |
j |
-30797841461750530048/531 |
j-invariant |
L |
1.7489937049977 |
L(r)(E,1)/r! |
Ω |
0.032388772314896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104076c2 34692k2 |
Quadratic twists by: -3 -7 |