Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312bs |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5634738611490816 = 212 · 34 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165097,25511255] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:6240:1] |
Generators of the group modulo torsion |
j |
2582630848/29241 |
j-invariant |
L |
7.2405739058533 |
L(r)(E,1)/r! |
Ω |
0.42927352848099 |
Real period |
R |
4.2167600753843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000803 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69312q2 34656j1 3648h2 |
Quadratic twists by: -4 8 -19 |