Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1302h |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
124023312 = 24 · 36 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-186,796] |
[a1,a2,a3,a4,a6] |
j |
706157817625/124023312 |
j-invariant |
L |
1.7708010182517 |
L(r)(E,1)/r! |
Ω |
1.7708010182517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
10416p1 41664z1 3906u1 32550bu1 |
Quadratic twists by: -4 8 -3 5 |