Atkin-Lehner |
3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
22365g |
Isogeny class |
Conductor |
22365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-24564308935434975 = -1 · 324 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-294593,62077232] |
[a1,a2,a3,a4,a6] |
j |
-3878484596972846281/33695897030775 |
j-invariant |
L |
1.5203649843501 |
L(r)(E,1)/r! |
Ω |
0.38009124608752 |
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 |
7455e1 111825m1 |
Quadratic twists by: -3 5 |