Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744y |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1142400 |
Modular degree for the optimal curve |
Δ |
631189392913944576 = 212 · 36 · 175 · 533 |
Discriminant |
Eigenvalues |
2- 3- -1 2 0 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-217008,7273584] |
[a1,a2,a3,a4,a6] |
Generators |
[59141579476730305:4004544864011157001:2606251117064113] |
Generators of the group modulo torsion |
j |
378497895469056/211384050589 |
j-invariant |
L |
7.4422712269233 |
L(r)(E,1)/r! |
Ω |
0.24963822306029 |
Real period |
R |
29.812226411842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8109f1 14416n1 |
Quadratic twists by: -4 -3 |