Atkin-Lehner |
2+ 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
9798a |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-9085776277782528 = -1 · 214 · 314 · 23 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 2 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-90896,11463936] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:4656:1] [160:944:1] |
Generators of the group modulo torsion |
j |
-83054944702384956937/9085776277782528 |
j-invariant |
L |
3.4882083586751 |
L(r)(E,1)/r! |
Ω |
0.39998888951509 |
Real period |
R |
4.3603815632266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384ba1 29394l1 |
Quadratic twists by: -4 -3 |