Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680co |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-102760448000 = -1 · 224 · 53 · 72 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -6 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2081,-38975] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1280:1] |
Generators of the group modulo torsion |
j |
-77626969/8000 |
j-invariant |
L |
2.6718227538158 |
L(r)(E,1)/r! |
Ω |
0.35136500354657 |
Real period |
R |
1.9010307848301 |
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 |
15680m2 3920bd2 78400hr2 15680db2 |
Quadratic twists by: -4 8 5 -7 |