Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430be |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-13123981248000 = -1 · 29 · 3 · 53 · 77 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18060,942765] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-327:1] |
Generators of the group modulo torsion |
j |
-651446046858075841/13123981248000 |
j-invariant |
L |
7.0513510815192 |
L(r)(E,1)/r! |
Ω |
0.70883026688182 |
Real period |
R |
0.052634230822531 |
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 |
52290x1 87150bd1 122010cv1 |
Quadratic twists by: -3 5 -7 |