Atkin-Lehner |
3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
17355g |
Isogeny class |
Conductor |
17355 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
68800 |
Modular degree for the optimal curve |
Δ |
-3016787109375 = -1 · 3 · 510 · 13 · 892 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-92707,10826464] |
[a1,a2,a3,a4,a6] |
j |
-88118808127805290681/3016787109375 |
j-invariant |
L |
3.7427143473656 |
L(r)(E,1)/r! |
Ω |
0.74854286947312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52065j1 86775q1 |
Quadratic twists by: -3 5 |