Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344h |
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] |
Generators |
[12813283730:30253000960:18191447] |
Generators of the group modulo torsion |
j |
-132651/208 |
j-invariant |
L |
9.3209464290696 |
L(r)(E,1)/r! |
Ω |
0.095869732976972 |
Real period |
R |
12.153140141003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344dw1 3042a1 97344p1 7488h1 |
Quadratic twists by: -4 8 -3 13 |