Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550ck |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
42202377000000 = 26 · 34 · 56 · 75 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-271963,54566417] |
[a1,a2,a3,a4,a6] |
Generators |
[296:-1:1] |
Generators of the group modulo torsion |
j |
142374842119352809/2700952128 |
j-invariant |
L |
10.845235903429 |
L(r)(E,1)/r! |
Ω |
0.59160679597465 |
Real period |
R |
0.30553051951682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650br1 1302b1 |
Quadratic twists by: -3 5 |