Atkin-Lehner |
5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3185b |
Isogeny class |
Conductor |
3185 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-15925 = -1 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -5 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,6] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] [1:2:1] |
Generators of the group modulo torsion |
j |
-2401/325 |
j-invariant |
L |
2.0536520549516 |
L(r)(E,1)/r! |
Ω |
3.2121386140091 |
Real period |
R |
0.31967052199988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50960x1 28665br1 15925p1 3185f1 |
Quadratic twists by: -4 -3 5 -7 |