Atkin-Lehner |
2- 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27060c |
Isogeny class |
Conductor |
27060 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-7658752661948678400 = -1 · 28 · 34 · 52 · 118 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,147964,-131383560] |
[a1,a2,a3,a4,a6] |
Generators |
[138820708:-1399255011:314432] |
Generators of the group modulo torsion |
j |
1399422981635151536/29917002585737025 |
j-invariant |
L |
4.6412201051779 |
L(r)(E,1)/r! |
Ω |
0.11377963796362 |
Real period |
R |
6.7985511119633 |
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 |
108240cb2 81180q2 |
Quadratic twists by: -4 -3 |