Atkin-Lehner |
3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
45423a |
Isogeny class |
Conductor |
45423 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-4008731395094307 = -1 · 39 · 711 · 103 |
Discriminant |
Eigenvalues |
0 3+ 2 7- 1 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,15876,2947313] |
[a1,a2,a3,a4,a6] |
j |
191102976/1731121 |
j-invariant |
L |
1.2893223834226 |
L(r)(E,1)/r! |
Ω |
0.32233059583708 |
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 |
45423b1 6489b1 |
Quadratic twists by: -3 -7 |