Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9405h |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
846189185308335 = 37 · 5 · 118 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-262665,51861330] |
[a1,a2,a3,a4,a6] |
Generators |
[78:5604:1] |
Generators of the group modulo torsion |
j |
2749183540559997841/1160753340615 |
j-invariant |
L |
4.7129241734715 |
L(r)(E,1)/r! |
Ω |
0.49264049970164 |
Real period |
R |
1.1958325026885 |
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 |
3135e5 47025ba6 103455r6 |
Quadratic twists by: -3 5 -11 |