Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682h |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-193868372318102144 = -1 · 27 · 137 · 176 |
Discriminant |
Eigenvalues |
2+ 3 -1 1 -2 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131260,28029392] |
[a1,a2,a3,a4,a6] |
Generators |
[50931:3168550:729] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
8.4804122672234 |
L(r)(E,1)/r! |
Ω |
0.29239454765924 |
Real period |
R |
7.2508296972261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7514i1 338f1 |
Quadratic twists by: 13 17 |