Atkin-Lehner |
3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23265c |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-412363037109375 = -1 · 33 · 512 · 113 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11715,-1089200] |
[a1,a2,a3,a4,a6] |
j |
-6585786983627307/15272705078125 |
j-invariant |
L |
2.572369457567 |
L(r)(E,1)/r! |
Ω |
0.21436412146392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23265h1 116325j1 |
Quadratic twists by: -3 5 |