Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
68276d |
Isogeny class |
Conductor |
68276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-163864991210752 = -1 · 28 · 137 · 1012 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6028,-590968] |
[a1,a2,a3,a4,a6] |
Generators |
[20494410:-1597038578:3375] |
Generators of the group modulo torsion |
j |
19600688/132613 |
j-invariant |
L |
11.346385514278 |
L(r)(E,1)/r! |
Ω |
0.28627371993224 |
Real period |
R |
13.211581229528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5252a2 |
Quadratic twists by: 13 |