Atkin-Lehner |
2- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21476h |
Isogeny class |
Conductor |
21476 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
147744 |
Modular degree for the optimal curve |
Δ |
3433652060982416 = 24 · 73 · 139 · 59 |
Discriminant |
Eigenvalues |
2- -2 3 7- 3 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180934,-29548887] |
[a1,a2,a3,a4,a6] |
j |
40941776500023200512/214603253811401 |
j-invariant |
L |
2.0840054919666 |
L(r)(E,1)/r! |
Ω |
0.23155616577406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85904q1 |
Quadratic twists by: -4 |