Atkin-Lehner |
2- 3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39996b |
Isogeny class |
Conductor |
39996 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
75264152832 = 28 · 37 · 113 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1767360,904348132] |
[a1,a2,a3,a4,a6] |
j |
3271382176104448000/403293 |
j-invariant |
L |
2.4777668179505 |
L(r)(E,1)/r! |
Ω |
0.61944170448641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13332c2 |
Quadratic twists by: -3 |