Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
3612h |
Isogeny class |
Conductor |
3612 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
195653428992 = 28 · 310 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68948,6945396] |
[a1,a2,a3,a4,a6] |
Generators |
[139:258:1] |
Generators of the group modulo torsion |
j |
141597330092818000/764271207 |
j-invariant |
L |
4.2097874354989 |
L(r)(E,1)/r! |
Ω |
0.89267801851312 |
Real period |
R |
0.9431816059526 |
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 |
14448j2 57792p2 10836i2 90300b2 |
Quadratic twists by: -4 8 -3 5 |