Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562t |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
6149849998850712 = 23 · 33 · 712 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83060,8426495] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1225:1] |
Generators of the group modulo torsion |
j |
2347095854538583875/227772222179656 |
j-invariant |
L |
8.1454462034662 |
L(r)(E,1)/r! |
Ω |
0.41268654863514 |
Real period |
R |
4.9344025328698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
23562f4 |
Quadratic twists by: -3 |