Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498bg |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
686700504 = 23 · 39 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -6 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272,1243] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:35:1] |
Generators of the group modulo torsion |
j |
2299563/712 |
j-invariant |
L |
10.479699147997 |
L(r)(E,1)/r! |
Ω |
1.4919178758009 |
Real period |
R |
1.1707189467594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498i1 78498bc1 |
Quadratic twists by: -3 -7 |