Atkin-Lehner |
3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
22365f |
Isogeny class |
Conductor |
22365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2729367659492775 = -1 · 322 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3375,2515536] |
[a1,a2,a3,a4,a6] |
j |
-5832972054001/3743988558975 |
j-invariant |
L |
1.4700033461056 |
L(r)(E,1)/r! |
Ω |
0.36750083652641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7455g1 111825p1 |
Quadratic twists by: -3 5 |