Atkin-Lehner |
2- 3- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718v |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
45091096932 = 22 · 3 · 76 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-923,3405] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1119:1] |
Generators of the group modulo torsion |
j |
86967747672625/45091096932 |
j-invariant |
L |
11.35994325518 |
L(r)(E,1)/r! |
Ω |
1.0007727708263 |
Real period |
R |
1.8918619001794 |
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 |
98154w2 |
Quadratic twists by: -3 |