Atkin-Lehner |
2- 3- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
83472t |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
-2735210496 = -1 · 219 · 3 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -4 0 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200,2676] |
[a1,a2,a3,a4,a6] |
j |
-217081801/667776 |
j-invariant |
L |
5.0489240835645 |
L(r)(E,1)/r! |
Ω |
1.2622310258728 |
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 |
10434b1 |
Quadratic twists by: -4 |