Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28644q |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-5974456814759664 = -1 · 24 · 37 · 75 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115934,-15680931] |
[a1,a2,a3,a4,a6] |
Generators |
[1225:41013:1] |
Generators of the group modulo torsion |
j |
-10770600971507360512/373403550922479 |
j-invariant |
L |
8.4336783397925 |
L(r)(E,1)/r! |
Ω |
0.12910181560889 |
Real period |
R |
0.46661279925328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114576bc1 85932bm1 |
Quadratic twists by: -4 -3 |