Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430s |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-276718680 = -1 · 23 · 35 · 5 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-216,-1551] |
[a1,a2,a3,a4,a6] |
Generators |
[27:101:1] |
Generators of the group modulo torsion |
j |
-1114835073409/276718680 |
j-invariant |
L |
5.767372153814 |
L(r)(E,1)/r! |
Ω |
0.61461841103622 |
Real period |
R |
3.1278877268963 |
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 |
52290be1 87150bi1 122010dl1 |
Quadratic twists by: -3 5 -7 |