Atkin-Lehner |
3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265c |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-67281893773875 = -1 · 34 · 53 · 118 · 31 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 11- -3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,444,394481] |
[a1,a2,a3,a4,a6] |
Generators |
[17700:297373:64] |
Generators of the group modulo torsion |
j |
45056/313875 |
j-invariant |
L |
7.2687993624879 |
L(r)(E,1)/r! |
Ω |
0.48701046423885 |
Real period |
R |
7.4626726695467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56265d1 |
Quadratic twists by: -11 |