Atkin-Lehner |
3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23265l |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-81796039415008875 = -1 · 321 · 53 · 113 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-87033,-16941362] |
[a1,a2,a3,a4,a6] |
j |
-100011063412043776/112203071899875 |
j-invariant |
L |
0.2662973848791 |
L(r)(E,1)/r! |
Ω |
0.13314869243961 |
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 |
7755e1 116325x1 |
Quadratic twists by: -3 5 |