Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9405h |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-22471546684253535 = -1 · 37 · 5 · 112 · 198 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,62685,3924720] |
[a1,a2,a3,a4,a6] |
Generators |
[174:18327:8] |
Generators of the group modulo torsion |
j |
37366565088983759/30825166919415 |
j-invariant |
L |
4.7129241734715 |
L(r)(E,1)/r! |
Ω |
0.24632024985082 |
Real period |
R |
4.7833300107541 |
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 |
3135e6 47025ba5 103455r5 |
Quadratic twists by: -3 5 -11 |