Atkin-Lehner |
2+ 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550q |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-635701500 = -1 · 22 · 33 · 53 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,35,1225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-35:1] |
Generators of the group modulo torsion |
j |
36264691/5085612 |
j-invariant |
L |
3.527861585019 |
L(r)(E,1)/r! |
Ω |
1.2480963573336 |
Real period |
R |
0.70664848196417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650es1 32550cp1 |
Quadratic twists by: -3 5 |