Atkin-Lehner |
3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
78141h |
Isogeny class |
Conductor |
78141 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
204484365838809 = 34 · 72 · 616 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14962,-152305] |
[a1,a2,a3,a4,a6] |
Generators |
[-13223:214388:343] |
Generators of the group modulo torsion |
j |
7189057/3969 |
j-invariant |
L |
7.3499695469242 |
L(r)(E,1)/r! |
Ω |
0.46207527196485 |
Real period |
R |
7.9532167039598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000054 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21a1 |
Quadratic twists by: 61 |