Atkin-Lehner |
2+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31654g |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-1421884964714816 = -1 · 26 · 77 · 175 · 19 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- -4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,28100,66490] |
[a1,a2,a3,a4,a6] |
Generators |
[137:2479:1] |
Generators of the group modulo torsion |
j |
20858191412183/12085822784 |
j-invariant |
L |
2.9518737795893 |
L(r)(E,1)/r! |
Ω |
0.28771499199251 |
Real period |
R |
2.5649287156943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522c1 |
Quadratic twists by: -7 |