Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cf |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1984529500559769600 = 217 · 311 · 52 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9353388,-11010151888] |
[a1,a2,a3,a4,a6] |
Generators |
[130324:47034432:1] |
Generators of the group modulo torsion |
j |
947094050118111698/20769216075 |
j-invariant |
L |
8.0186899026173 |
L(r)(E,1)/r! |
Ω |
0.086329234223234 |
Real period |
R |
5.8053117699533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ez4 15480n3 41280v4 |
Quadratic twists by: -4 8 -3 |