Atkin-Lehner |
2+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776d |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-4161542140077056 = -1 · 210 · 78 · 893 |
Discriminant |
Eigenvalues |
2+ 3 1 7- -2 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9653,-3082198] |
[a1,a2,a3,a4,a6] |
j |
825700284/34543481 |
j-invariant |
L |
6.7354944516682 |
L(r)(E,1)/r! |
Ω |
0.21048420164112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34888e1 9968c1 |
Quadratic twists by: -4 -7 |