Atkin-Lehner |
7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32851c |
Isogeny class |
Conductor |
32851 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
396720 |
Modular degree for the optimal curve |
Δ |
-308988025536918637 = -1 · 72 · 135 · 198 |
Discriminant |
Eigenvalues |
-1 -2 2 7+ -1 13+ 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-914962,337846257] |
[a1,a2,a3,a4,a6] |
Generators |
[391:6122:1] |
Generators of the group modulo torsion |
j |
-4987743443713/18193357 |
j-invariant |
L |
2.3258895848908 |
L(r)(E,1)/r! |
Ω |
0.3076253938579 |
Real period |
R |
1.2601308991011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32851g1 |
Quadratic twists by: -19 |