Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400il |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.2089663946752E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-214072833,-1205635841537] |
[a1,a2,a3,a4,a6] |
Generators |
[-6736409619606249:-41685921625600:797371629417] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
4.8385777513091 |
L(r)(E,1)/r! |
Ω |
0.039469276512762 |
Real period |
R |
15.323873971845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400cc6 19600cp6 3136y6 11200co6 |
Quadratic twists by: -4 8 5 -7 |