Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gw |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
165288374272000000 = 218 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2915500,-1915998000] |
[a1,a2,a3,a4,a6] |
Generators |
[237619774424838532:5194661293788537936:108033806680883] |
Generators of the group modulo torsion |
j |
16581375 |
j-invariant |
L |
6.6816394303005 |
L(r)(E,1)/r! |
Ω |
0.11553747306571 |
Real period |
R |
28.915464618748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400v4 19600cb4 3136r4 78400gw2 |
Quadratic twists by: -4 8 5 -7 |