Atkin-Lehner |
3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23373i |
Isogeny class |
Conductor |
23373 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
10913996195613 = 36 · 710 · 53 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 3 5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11255,434018] |
[a1,a2,a3,a4,a6] |
j |
765625/53 |
j-invariant |
L |
1.4113485498437 |
L(r)(E,1)/r! |
Ω |
0.70567427492188 |
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 |
2597c1 23373b1 |
Quadratic twists by: -3 -7 |