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 |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
6886425600 = 210 · 38 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-549,-2795] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:32:1] |
Generators of the group modulo torsion |
j |
25128011089/9446400 |
j-invariant |
L |
2.7141263280459 |
L(r)(E,1)/r! |
Ω |
1.0177088501462 |
Real period |
R |
1.3334493100143 |
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 |
29520by1 118080ba1 1230e1 18450bk1 |
Quadratic twists by: -4 8 -3 5 |