Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
462c |
Isogeny class |
Conductor |
462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
614922 = 2 · 3 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-226,-1406] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:5:1] |
Generators of the group modulo torsion |
j |
1285429208617/614922 |
j-invariant |
L |
1.2390297776895 |
L(r)(E,1)/r! |
Ω |
1.2306512190259 |
Real period |
R |
1.0068082317184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3696u4 14784bd3 1386l4 11550cg3 |
Quadratic twists by: -4 8 -3 5 |