Atkin-Lehner |
3- 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
22695j |
Isogeny class |
Conductor |
22695 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
347328 |
Modular degree for the optimal curve |
Δ |
-178104167013931875 = -1 · 33 · 54 · 179 · 89 |
Discriminant |
Eigenvalues |
0 3- 5- 5 -1 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-216715,43747306] |
[a1,a2,a3,a4,a6] |
j |
-1125622155547902509056/178104167013931875 |
j-invariant |
L |
3.7114491613045 |
L(r)(E,1)/r! |
Ω |
0.30928743010871 |
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 |
68085e1 113475e1 |
Quadratic twists by: -3 5 |