Atkin-Lehner |
2- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2278b |
Isogeny class |
Conductor |
2278 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
22583763968 = 210 · 173 · 672 |
Discriminant |
Eigenvalues |
2- 2 2 -4 2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-817,-5681] |
[a1,a2,a3,a4,a6] |
j |
60314690631313/22583763968 |
j-invariant |
L |
4.6066379126158 |
L(r)(E,1)/r! |
Ω |
0.92132758252316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18224h1 72896c1 20502s1 56950e1 |
Quadratic twists by: -4 8 -3 5 |