Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302n |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-893169653742351648 = -1 · 25 · 315 · 137 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9339732,-10984016016] |
[a1,a2,a3,a4,a6] |
j |
-25605858405543625/253831968 |
j-invariant |
L |
0.69088457201625 |
L(r)(E,1)/r! |
Ω |
0.043180303935561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31434s1 7254o1 |
Quadratic twists by: -3 13 |