Atkin-Lehner |
2- 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35112y |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3371385701376 = -1 · 210 · 38 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3136,57936] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:180:1] |
Generators of the group modulo torsion |
j |
3329763768572/3292368849 |
j-invariant |
L |
6.2202230340353 |
L(r)(E,1)/r! |
Ω |
0.52235449819117 |
Real period |
R |
1.4885061427572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70224f3 105336l3 |
Quadratic twists by: -4 -3 |