Atkin-Lehner |
2+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116402q |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
8613748 = 22 · 112 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ -1 0 -2 11- 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-695,6769] |
[a1,a2,a3,a4,a6] |
Generators |
[20:27:1] |
Generators of the group modulo torsion |
j |
307516746625/71188 |
j-invariant |
L |
3.1676636707008 |
L(r)(E,1)/r! |
Ω |
2.260633405791 |
Real period |
R |
0.35030708662836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000193932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116402z1 |
Quadratic twists by: -11 |