Atkin-Lehner |
2+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28090c |
Isogeny class |
Conductor |
28090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-1879537823739200 = -1 · 26 · 52 · 537 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -4 -3 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,25222,1406956] |
[a1,a2,a3,a4,a6] |
Generators |
[340:6852:1] [445:9817:1] |
Generators of the group modulo torsion |
j |
80062991/84800 |
j-invariant |
L |
6.907633027785 |
L(r)(E,1)/r! |
Ω |
0.31023696697749 |
Real period |
R |
1.3916041935388 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
530d1 |
Quadratic twists by: 53 |