Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430bo |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1480411054080 = -1 · 221 · 35 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2145,44505] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-1203:1] |
Generators of the group modulo torsion |
j |
1091422612360079/1480411054080 |
j-invariant |
L |
9.1012646231983 |
L(r)(E,1)/r! |
Ω |
0.57339278385968 |
Real period |
R |
0.15116812268488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52290p1 87150t1 122010bs1 |
Quadratic twists by: -3 5 -7 |