Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400el |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.8346956187648E+21 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -3 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3568833,3645154463] |
[a1,a2,a3,a4,a6] |
Generators |
[-49191:1729504:27] |
Generators of the group modulo torsion |
j |
-417267265/235298 |
j-invariant |
L |
6.4642993470219 |
L(r)(E,1)/r! |
Ω |
0.13288532688383 |
Real period |
R |
6.0807121256027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400kn2 2450bf2 78400bu2 11200bq2 |
Quadratic twists by: -4 8 5 -7 |