Atkin-Lehner |
2+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45248i |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
316736 = 26 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- -6 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2378,-44634] |
[a1,a2,a3,a4,a6] |
j |
23236958854656/4949 |
j-invariant |
L |
1.3673402344235 |
L(r)(E,1)/r! |
Ω |
0.68367011733676 |
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 |
45248a1 22624h1 |
Quadratic twists by: -4 8 |