Atkin-Lehner |
3- 5- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22755h |
Isogeny class |
Conductor |
22755 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
303800 |
Modular degree for the optimal curve |
Δ |
-67555388752471875 = -1 · 3 · 55 · 37 · 417 |
Discriminant |
Eigenvalues |
0 3- 5- -5 0 6 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-330745,74163124] |
[a1,a2,a3,a4,a6] |
j |
-4001334767929099288576/67555388752471875 |
j-invariant |
L |
1.7411554578751 |
L(r)(E,1)/r! |
Ω |
0.34823109157503 |
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 |
68265h1 113775a1 |
Quadratic twists by: -3 5 |