Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680cr |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-18512297918464000 = -1 · 219 · 53 · 710 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1539841,-734980959] |
[a1,a2,a3,a4,a6] |
Generators |
[3409335607849677:-843972257526139680:55611739513] |
Generators of the group modulo torsion |
j |
-5452947409/250 |
j-invariant |
L |
6.8514766144867 |
L(r)(E,1)/r! |
Ω |
0.067764052636725 |
Real period |
R |
25.276958608189 |
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 |
15680u2 3920bg2 78400iq2 15680df2 |
Quadratic twists by: -4 8 5 -7 |