Atkin-Lehner |
2+ 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562d |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-66380401299366 = -1 · 2 · 33 · 74 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5172,-366210] |
[a1,a2,a3,a4,a6] |
Generators |
[61:386:1] |
Generators of the group modulo torsion |
j |
566615254435749/2458533381458 |
j-invariant |
L |
3.5853670034702 |
L(r)(E,1)/r! |
Ω |
0.31292236020777 |
Real period |
R |
1.4322110926691 |
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 |
23562w2 |
Quadratic twists by: -3 |