Atkin-Lehner |
2- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202p |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-292683664 = -1 · 24 · 72 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 0 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-331,2539] |
[a1,a2,a3,a4,a6] |
Generators |
[1:46:1] |
Generators of the group modulo torsion |
j |
-23664119193/1731856 |
j-invariant |
L |
11.961481936387 |
L(r)(E,1)/r! |
Ω |
1.6988749602654 |
Real period |
R |
0.44005158387217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111202h1 |
Quadratic twists by: 13 |