Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hm |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2409451520000000000 = -1 · 221 · 510 · 76 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9840833,-11885689537] |
[a1,a2,a3,a4,a6] |
Generators |
[93859854416054680134827910:-1693937951944040711778267671:24892573544088211627875] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
6.999979477672 |
L(r)(E,1)/r! |
Ω |
0.042619759448927 |
Real period |
R |
41.060646330374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bp4 19600ch4 78400kp2 1600q4 |
Quadratic twists by: -4 8 5 -7 |