Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286n |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
68640 |
Modular degree for the optimal curve |
Δ |
-3890347956 = -1 · 22 · 32 · 116 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11- 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24808,1501850] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-43:1] |
Generators of the group modulo torsion |
j |
-953054410321/2196 |
j-invariant |
L |
5.7482278930328 |
L(r)(E,1)/r! |
Ω |
1.2041395900493 |
Real period |
R |
1.1934305500267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
366a1 |
Quadratic twists by: -11 |