Atkin-Lehner |
2- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
1958a |
Isogeny class |
Conductor |
1958 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
463885444 = 22 · 114 · 892 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-246,1121] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:1471:27] |
Generators of the group modulo torsion |
j |
1640109694257/463885444 |
j-invariant |
L |
3.8233338140411 |
L(r)(E,1)/r! |
Ω |
1.5500883247387 |
Real period |
R |
4.9330528499861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15664f2 62656f2 17622e2 48950d2 |
Quadratic twists by: -4 8 -3 5 |