Atkin-Lehner |
2- 3+ 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430x |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
468 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-4.4916767981568E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 -4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1706205,-917130573] |
[a1,a2,a3,a4,a6] |
Generators |
[4087:-247804:1] |
Generators of the group modulo torsion |
j |
-549309814955296677994321/44916767981568000000 |
j-invariant |
L |
6.0989095022336 |
L(r)(E,1)/r! |
Ω |
0.065740568945127 |
Real period |
R |
0.19823159610367 |
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 |
52290s1 87150bp1 122010df1 |
Quadratic twists by: -3 5 -7 |