Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9405h |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
34281225 = 38 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8820,-316629] |
[a1,a2,a3,a4,a6] |
Generators |
[464400:1251369:4096] |
Generators of the group modulo torsion |
j |
104094944089921/47025 |
j-invariant |
L |
4.7129241734715 |
L(r)(E,1)/r! |
Ω |
0.49264049970164 |
Real period |
R |
9.5666600215082 |
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 |
3135e1 47025ba1 103455r1 |
Quadratic twists by: -3 5 -11 |