Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050q |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-9545765625000 = -1 · 23 · 33 · 59 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11- 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7025,268125] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:705:1] |
Generators of the group modulo torsion |
j |
-2454365649169/610929000 |
j-invariant |
L |
2.6809115797469 |
L(r)(E,1)/r! |
Ω |
0.6930289462409 |
Real period |
R |
0.32236647476855 |
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 |
84150ez1 5610bh1 |
Quadratic twists by: -3 5 |