Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1302i |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-9184009519104 = -1 · 221 · 3 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-662,-146008] |
[a1,a2,a3,a4,a6] |
j |
-32015057794777/9184009519104 |
j-invariant |
L |
1.9593774148474 |
L(r)(E,1)/r! |
Ω |
0.32656290247456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10416q2 41664bc2 3906w2 32550bt2 |
Quadratic twists by: -4 8 -3 5 |