Atkin-Lehner |
2- 3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270ca |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-829382400 = -1 · 28 · 32 · 52 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,220,677] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-47:1] |
Generators of the group modulo torsion |
j |
1177249106879/829382400 |
j-invariant |
L |
7.2026203952257 |
L(r)(E,1)/r! |
Ω |
1.0048887466896 |
Real period |
R |
0.44797374454082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bd1 |
Quadratic twists by: -3 |