Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
61268h |
Isogeny class |
Conductor |
61268 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-66659584 = -1 · 28 · 173 · 53 |
Discriminant |
Eigenvalues |
2- -2 -1 1 -4 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1796,28708] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-34:1] |
Generators of the group modulo torsion |
j |
-509680208/53 |
j-invariant |
L |
2.1551582303073 |
L(r)(E,1)/r! |
Ω |
1.8766419788799 |
Real period |
R |
0.19140200553087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61268g1 |
Quadratic twists by: 17 |