Atkin-Lehner |
2- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
56a |
Isogeny class |
Conductor |
56 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2 |
Modular degree for the optimal curve |
Δ |
-1792 = -1 · 28 · 7 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1,2] |
[a1,a2,a3,a4,a6] |
j |
432/7 |
j-invariant |
L |
0.87454831418834 |
L(r)(E,1)/r! |
Ω |
3.4981932567533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112b1 448a1 504c1 1400a1 |
Quadratic twists by: -4 8 -3 5 |