Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400iy |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.5690112E+20 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -2 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1469300,-353206000] |
[a1,a2,a3,a4,a6] |
Generators |
[539341539510:10563094016000:2191933899] |
Generators of the group modulo torsion |
j |
1747829720511/1280000000 |
j-invariant |
L |
12.075444851575 |
L(r)(E,1)/r! |
Ω |
0.098124075275307 |
Real period |
R |
15.382877262403 |
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 |
78400dk2 19600db2 15680cw2 78400go2 |
Quadratic twists by: -4 8 5 -7 |