Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9405h |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
312964581548025 = 38 · 52 · 114 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18990,543375] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1239:1] |
Generators of the group modulo torsion |
j |
1038924390371041/429306696225 |
j-invariant |
L |
4.7129241734715 |
L(r)(E,1)/r! |
Ω |
0.49264049970164 |
Real period |
R |
2.391665005377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3135e3 47025ba4 103455r4 |
Quadratic twists by: -3 5 -11 |