Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112g |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10573541164032 = -1 · 210 · 3 · 74 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5192,-214368] |
[a1,a2,a3,a4,a6] |
Generators |
[181811777829:2095306803170:1070599167] |
Generators of the group modulo torsion |
j |
-15118595620132/10325723793 |
j-invariant |
L |
7.8292927629491 |
L(r)(E,1)/r! |
Ω |
0.27292485806774 |
Real period |
R |
14.343311962089 |
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 |
70224i3 105336bl3 |
Quadratic twists by: -4 -3 |