Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bi |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2551226056888320 = -1 · 212 · 32 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65921,-6931119] |
[a1,a2,a3,a4,a6] |
Generators |
[2000:88641:1] |
Generators of the group modulo torsion |
j |
-65743598656/5294205 |
j-invariant |
L |
3.071308806823 |
L(r)(E,1)/r! |
Ω |
0.14829077477536 |
Real period |
R |
5.1778487425728 |
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 |
23520bu2 47040hk1 70560bx2 117600dl2 |
Quadratic twists by: -4 8 -3 5 |