Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344dw |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-5180297042139807744 = -1 · 222 · 39 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-310284,128129040] |
[a1,a2,a3,a4,a6] |
j |
-132651/208 |
j-invariant |
L |
1.7381347711873 |
L(r)(E,1)/r! |
Ω |
0.21726687227286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344h1 24336be1 97344dy1 7488bi1 |
Quadratic twists by: -4 8 -3 13 |