Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272y |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-221187649536 = -1 · 212 · 33 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -5 -7 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14664,-683856] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1372:1] |
Generators of the group modulo torsion |
j |
-3153242386944/2000033 |
j-invariant |
L |
2.6550959448829 |
L(r)(E,1)/r! |
Ω |
0.21691516965502 |
Real period |
R |
1.5300312727696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34272h1 68544l1 34272c1 |
Quadratic twists by: -4 8 -3 |