Atkin-Lehner |
11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
101761i |
Isogeny class |
Conductor |
101761 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11591423771114891 = -1 · 117 · 296 |
Discriminant |
Eigenvalues |
-2 1 1 2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-795804940,8640616443168] |
[a1,a2,a3,a4,a6] |
Generators |
[16056:50880:1] [34675972556792928:-4185617464662560:2130256518363] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
7.7619501674179 |
L(r)(E,1)/r! |
Ω |
0.16335609973636 |
Real period |
R |
5.9394401096322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9251a3 121d3 |
Quadratic twists by: -11 29 |