Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3690h |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15881819040 = 25 · 310 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7749,-260555] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:32:1] |
Generators of the group modulo torsion |
j |
70593496254289/21785760 |
j-invariant |
L |
2.7141263280459 |
L(r)(E,1)/r! |
Ω |
0.50885442507312 |
Real period |
R |
2.6668986200286 |
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 |
29520by2 118080ba2 1230e2 18450bk2 |
Quadratic twists by: -4 8 -3 5 |