Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430n |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55488 |
Modular degree for the optimal curve |
Δ |
-17134387200 = -1 · 217 · 32 · 52 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 0 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55849,5075372] |
[a1,a2,a3,a4,a6] |
Generators |
[136:-61:1] |
Generators of the group modulo torsion |
j |
-19264544181973060489/17134387200 |
j-invariant |
L |
4.244432870004 |
L(r)(E,1)/r! |
Ω |
1.030086608654 |
Real period |
R |
1.0301155345448 |
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 |
52290cq1 87150by1 122010j1 |
Quadratic twists by: -3 5 -7 |