Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050ba |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1186024300312500 = -1 · 22 · 35 · 57 · 11 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2151,1657198] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-1284:1] |
Generators of the group modulo torsion |
j |
-70393838689/75905555220 |
j-invariant |
L |
5.255316210913 |
L(r)(E,1)/r! |
Ω |
0.39278571970906 |
Real period |
R |
0.13379601006894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150fl1 5610w1 |
Quadratic twists by: -3 5 |