Atkin-Lehner |
2- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17020b |
Isogeny class |
Conductor |
17020 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3240 |
Modular degree for the optimal curve |
Δ |
-36014320 = -1 · 24 · 5 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 2 -1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,67,197] |
[a1,a2,a3,a4,a6] |
Generators |
[4:23:1] |
Generators of the group modulo torsion |
j |
2078873856/2250895 |
j-invariant |
L |
4.7820045707776 |
L(r)(E,1)/r! |
Ω |
1.3665224662296 |
Real period |
R |
0.38882188498775 |
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 |
68080j1 85100a1 |
Quadratic twists by: -4 5 |