Atkin-Lehner |
2- 3+ 7+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73458t |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-2419279763104512 = -1 · 28 · 39 · 77 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11+ 1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11153,2412289] |
[a1,a2,a3,a4,a6] |
j |
-7794190562283/122912145664 |
j-invariant |
L |
6.2017240061887 |
L(r)(E,1)/r! |
Ω |
0.38760775024864 |
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 |
73458b1 |
Quadratic twists by: -3 |