Atkin-Lehner |
2+ 3+ 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378a |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-178013258570093184 = -1 · 27 · 39 · 73 · 17 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 1 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-601980,-180763696] |
[a1,a2,a3,a4,a6] |
j |
-1225685401157029203/9044010494848 |
j-invariant |
L |
0.34264607796019 |
L(r)(E,1)/r! |
Ω |
0.085660899138351 |
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 |
126378z1 |
Quadratic twists by: -3 |