Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
462g |
Isogeny class |
Conductor |
462 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-39517632 = -1 · 26 · 36 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,77,161] |
[a1,a2,a3,a4,a6] |
j |
50447927375/39517632 |
j-invariant |
L |
2.6272062748348 |
L(r)(E,1)/r! |
Ω |
1.3136031374174 |
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 |
3696n1 14784r1 1386d1 11550a1 |
Quadratic twists by: -4 8 -3 5 |