Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430bc |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
55084770263040000 = 220 · 3 · 54 · 72 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-95470,-1223893] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:3021:1] |
Generators of the group modulo torsion |
j |
96233163814823424481/55084770263040000 |
j-invariant |
L |
7.0565084445804 |
L(r)(E,1)/r! |
Ω |
0.2944422761671 |
Real period |
R |
0.19971397383437 |
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 |
52290u1 87150ba1 122010cr1 |
Quadratic twists by: -3 5 -7 |