Atkin-Lehner |
3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4059b |
Isogeny class |
Conductor |
4059 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-213554782881 = -1 · 316 · 112 · 41 |
Discriminant |
Eigenvalues |
1 3- -2 0 11+ 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1467,4810] |
[a1,a2,a3,a4,a6] |
Generators |
[238:2059:8] |
Generators of the group modulo torsion |
j |
478762350767/292942089 |
j-invariant |
L |
3.8827138815824 |
L(r)(E,1)/r! |
Ω |
0.61541995089733 |
Real period |
R |
3.154523895367 |
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 |
64944bt2 1353b2 101475bl2 44649l2 |
Quadratic twists by: -4 -3 5 -11 |