Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850r |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-362221875000 = -1 · 23 · 37 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -1 2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1458,19116] |
[a1,a2,a3,a4,a6] |
j |
30080231/31800 |
j-invariant |
L |
2.5308986326955 |
L(r)(E,1)/r! |
Ω |
0.63272465817391 |
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 |
7950bu1 4770bi1 |
Quadratic twists by: -3 5 |