Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550cn |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
10595025000000 = 26 · 32 · 58 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6838,-151708] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:254:1] |
Generators of the group modulo torsion |
j |
2263054145689/678081600 |
j-invariant |
L |
10.682132063467 |
L(r)(E,1)/r! |
Ω |
0.53716745236869 |
Real period |
R |
1.6571697857535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97650bw2 6510b2 |
Quadratic twists by: -3 5 |