Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680be |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-37562616000000 = -1 · 29 · 34 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1216,-294920] |
[a1,a2,a3,a4,a6] |
Generators |
[649:16488:1] |
Generators of the group modulo torsion |
j |
-388697347592/73364484375 |
j-invariant |
L |
3.1481213158963 |
L(r)(E,1)/r! |
Ω |
0.2893025611236 |
Real period |
R |
5.4408804810957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bz2 87360gt2 |
Quadratic twists by: -4 8 |