Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
462g |
Isogeny class |
Conductor |
462 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
25367712678 = 2 · 34 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14133,-647829] |
[a1,a2,a3,a4,a6] |
j |
312196988566716625/25367712678 |
j-invariant |
L |
2.6272062748348 |
L(r)(E,1)/r! |
Ω |
0.43786771247247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3696n4 14784r4 1386d4 11550a4 |
Quadratic twists by: -4 8 -3 5 |