Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688j |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-856650940416 = -1 · 221 · 35 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5480,164208] |
[a1,a2,a3,a4,a6] |
j |
-2643729241/124416 |
j-invariant |
L |
1.7610561532507 |
L(r)(E,1)/r! |
Ω |
0.88052805673281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086h1 80688bk1 |
Quadratic twists by: -4 41 |