Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
46128i |
Isogeny class |
Conductor |
46128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1521337509881856 = -1 · 211 · 33 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 -5 -1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31072,-2812064] |
[a1,a2,a3,a4,a6] |
Generators |
[276:3092:1] [300:3844:1] |
Generators of the group modulo torsion |
j |
-1825346/837 |
j-invariant |
L |
5.9083136813921 |
L(r)(E,1)/r! |
Ω |
0.17590821058147 |
Real period |
R |
2.099217562764 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23064p1 1488g1 |
Quadratic twists by: -4 -31 |