Atkin-Lehner |
2- 3+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31620b |
Isogeny class |
Conductor |
31620 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141600 |
Modular degree for the optimal curve |
Δ |
-207926017262640 = -1 · 24 · 310 · 5 · 175 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -5 -3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34101,2532546] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:1944:1] |
Generators of the group modulo torsion |
j |
-274105537379958784/12995376078915 |
j-invariant |
L |
3.2579849638291 |
L(r)(E,1)/r! |
Ω |
0.55709955550562 |
Real period |
R |
2.9240599203783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480bk1 94860s1 |
Quadratic twists by: -4 -3 |